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Finding the Fourth Proportional to 157,201.97, 216,937.41 and 85,581.83

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Solution

The fourth proportional to 157,201.97, 216,937.41 and 85,581.83 is: 118,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,201.97 : 216,937.41 = 85,581.83 : x
  2. Step 2: Convert to fraction form
    157,201.97/216,937.41 = 85,581.83/x
  3. Step 3: Cross multiply
    157,201.97x = 216,937.41 × 85,581.83
  4. Step 4: Simplify right side
    157,201.97x = 18,565,900,764.67
  5. Step 5: Solve for x
    x = 18,565,900,764.67/157,201.97
  6. Step 6: Final answer
    x = 118,102.22

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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.