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Finding the Fourth Proportional to 257,164.97, 385,772.87 and 88,663.16

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Solution

The fourth proportional to 257,164.97, 385,772.87 and 88,663.16 is: 133,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.97 : 385,772.87 = 88,663.16 : x
  2. Step 2: Convert to fraction form
    257,164.97/385,772.87 = 88,663.16/x
  3. Step 3: Cross multiply
    257,164.97x = 385,772.87 × 88,663.16
  4. Step 4: Simplify right side
    257,164.97x = 34,203,842,882.56
  5. Step 5: Solve for x
    x = 34,203,842,882.56/257,164.97
  6. Step 6: Final answer
    x = 133,003.51

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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.