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Finding the Fourth Proportional to 157,125.78, 216,829.98 and 85,505.94

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Solution

The fourth proportional to 157,125.78, 216,829.98 and 85,505.94 is: 117,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,125.78 : 216,829.98 = 85,505.94 : x
  2. Step 2: Convert to fraction form
    157,125.78/216,829.98 = 85,505.94/x
  3. Step 3: Cross multiply
    157,125.78x = 216,829.98 × 85,505.94
  4. Step 4: Simplify right side
    157,125.78x = 18,540,251,260.08
  5. Step 5: Solve for x
    x = 18,540,251,260.08/157,125.78
  6. Step 6: Final answer
    x = 117,996.24

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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.