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Finding the Fourth Proportional to 201,307.55, 277,809.78 and 109,433.03

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Solution

The fourth proportional to 201,307.55, 277,809.78 and 109,433.03 is: 151,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,307.55 : 277,809.78 = 109,433.03 : x
  2. Step 2: Convert to fraction form
    201,307.55/277,809.78 = 109,433.03/x
  3. Step 3: Cross multiply
    201,307.55x = 277,809.78 × 109,433.03
  4. Step 4: Simplify right side
    201,307.55x = 30,401,564,087.02
  5. Step 5: Solve for x
    x = 30,401,564,087.02/201,307.55
  6. Step 6: Final answer
    x = 151,020.48

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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.