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Finding the Fourth Proportional to 149,981.78, 206,978.13 and 89,541.13

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Solution

The fourth proportional to 149,981.78, 206,978.13 and 89,541.13 is: 123,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,981.78 : 206,978.13 = 89,541.13 : x
  2. Step 2: Convert to fraction form
    149,981.78/206,978.13 = 89,541.13/x
  3. Step 3: Cross multiply
    149,981.78x = 206,978.13 × 89,541.13
  4. Step 4: Simplify right side
    149,981.78x = 18,533,055,645.49
  5. Step 5: Solve for x
    x = 18,533,055,645.49/149,981.78
  6. Step 6: Final answer
    x = 123,568.71

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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.