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Finding the Fourth Proportional to 155,640.47, 214,781.54 and 87,657.57

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Solution

The fourth proportional to 155,640.47, 214,781.54 and 87,657.57 is: 120,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,640.47 : 214,781.54 = 87,657.57 : x
  2. Step 2: Convert to fraction form
    155,640.47/214,781.54 = 87,657.57/x
  3. Step 3: Cross multiply
    155,640.47x = 214,781.54 × 87,657.57
  4. Step 4: Simplify right side
    155,640.47x = 18,827,227,438.97
  5. Step 5: Solve for x
    x = 18,827,227,438.97/155,640.47
  6. Step 6: Final answer
    x = 120,966.15

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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.