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Finding the Fourth Proportional to 201,139.79, 301,712.45 and 51,381.32

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Solution

The fourth proportional to 201,139.79, 301,712.45 and 51,381.32 is: 77,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,139.79 : 301,712.45 = 51,381.32 : x
  2. Step 2: Convert to fraction form
    201,139.79/301,712.45 = 51,381.32/x
  3. Step 3: Cross multiply
    201,139.79x = 301,712.45 × 51,381.32
  4. Step 4: Simplify right side
    201,139.79x = 15,502,382,175.97
  5. Step 5: Solve for x
    x = 15,502,382,175.97/201,139.79
  6. Step 6: Final answer
    x = 77,072.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.