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Finding the Fourth Proportional to 157,229.76, 216,978.56 and 90,148.80

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Solution

The fourth proportional to 157,229.76, 216,978.56 and 90,148.80 is: 124,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,229.76 : 216,978.56 = 90,148.80 : x
  2. Step 2: Convert to fraction form
    157,229.76/216,978.56 = 90,148.80/x
  3. Step 3: Cross multiply
    157,229.76x = 216,978.56 × 90,148.80
  4. Step 4: Simplify right side
    157,229.76x = 19,560,356,809.73
  5. Step 5: Solve for x
    x = 19,560,356,809.73/157,229.76
  6. Step 6: Final answer
    x = 124,406.20

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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.