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Finding the Fourth Proportional to 201,164,797.50, 277,818,185.43 and 138,603,564.06

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Solution

The fourth proportional to 201,164,797.50, 277,818,185.43 and 138,603,564.06 is: 191,418,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,164,797.50 : 277,818,185.43 = 138,603,564.06 : x
  2. Step 2: Convert to fraction form
    201,164,797.50/277,818,185.43 = 138,603,564.06/x
  3. Step 3: Cross multiply
    201,164,797.50x = 277,818,185.43 × 138,603,564.06
  4. Step 4: Simplify right side
    201,164,797.50x = 38,506,590,661,279,968
  5. Step 5: Solve for x
    x = 38,506,590,661,279,968/201,164,797.50
  6. Step 6: Final answer
    x = 191,418,136.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.