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Finding the Fourth Proportional to 100,921.20, 151,252.20 and 77,431.20

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Solution

The fourth proportional to 100,921.20, 151,252.20 and 77,431.20 is: 116,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,921.20 : 151,252.20 = 77,431.20 : x
  2. Step 2: Convert to fraction form
    100,921.20/151,252.20 = 77,431.20/x
  3. Step 3: Cross multiply
    100,921.20x = 151,252.20 × 77,431.20
  4. Step 4: Simplify right side
    100,921.20x = 11,711,639,348.64
  5. Step 5: Solve for x
    x = 11,711,639,348.64/100,921.20
  6. Step 6: Final answer
    x = 116,047.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.