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Finding the Fourth Proportional to 157,081.73, 216,773.73 and 85,462.26

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Solution

The fourth proportional to 157,081.73, 216,773.73 and 85,462.26 is: 117,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,081.73 : 216,773.73 = 85,462.26 : x
  2. Step 2: Convert to fraction form
    157,081.73/216,773.73 = 85,462.26/x
  3. Step 3: Cross multiply
    157,081.73x = 216,773.73 × 85,462.26
  4. Step 4: Simplify right side
    157,081.73x = 18,525,974,010.74
  5. Step 5: Solve for x
    x = 18,525,974,010.74/157,081.73
  6. Step 6: Final answer
    x = 117,938.44

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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.