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Finding the Fourth Proportional to 157,403.36, 217,211.12 and 85,781.92

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Solution

The fourth proportional to 157,403.36, 217,211.12 and 85,781.92 is: 118,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,403.36 : 217,211.12 = 85,781.92 : x
  2. Step 2: Convert to fraction form
    157,403.36/217,211.12 = 85,781.92/x
  3. Step 3: Cross multiply
    157,403.36x = 217,211.12 × 85,781.92
  4. Step 4: Simplify right side
    157,403.36x = 18,632,786,918.95
  5. Step 5: Solve for x
    x = 18,632,786,918.95/157,403.36
  6. Step 6: Final answer
    x = 118,376.04

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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.