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Finding the Fourth Proportional to 157,047.73, 216,724.89 and 85,428.03

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Solution

The fourth proportional to 157,047.73, 216,724.89 and 85,428.03 is: 117,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,047.73 : 216,724.89 = 85,428.03 : x
  2. Step 2: Convert to fraction form
    157,047.73/216,724.89 = 85,428.03/x
  3. Step 3: Cross multiply
    157,047.73x = 216,724.89 × 85,428.03
  4. Step 4: Simplify right side
    157,047.73x = 18,514,380,404.67
  5. Step 5: Solve for x
    x = 18,514,380,404.67/157,047.73
  6. Step 6: Final answer
    x = 117,890.15

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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.