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Finding the Fourth Proportional to 164,781.54, 227,398 and 89,330.04

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Solution

The fourth proportional to 164,781.54, 227,398 and 89,330.04 is: 123,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,781.54 : 227,398 = 89,330.04 : x
  2. Step 2: Convert to fraction form
    164,781.54/227,398 = 89,330.04/x
  3. Step 3: Cross multiply
    164,781.54x = 227,398 × 89,330.04
  4. Step 4: Simplify right side
    164,781.54x = 20,313,472,435.92
  5. Step 5: Solve for x
    x = 20,313,472,435.92/164,781.54
  6. Step 6: Final answer
    x = 123,275.17

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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.