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Finding the Fourth Proportional to 100,957.20, 151,435.80 and 77,337.60

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Solution

The fourth proportional to 100,957.20, 151,435.80 and 77,337.60 is: 116,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957.20 : 151,435.80 = 77,337.60 : x
  2. Step 2: Convert to fraction form
    100,957.20/151,435.80 = 77,337.60/x
  3. Step 3: Cross multiply
    100,957.20x = 151,435.80 × 77,337.60
  4. Step 4: Simplify right side
    100,957.20x = 11,711,681,326.08
  5. Step 5: Solve for x
    x = 11,711,681,326.08/100,957.20
  6. Step 6: Final answer
    x = 116,006.40

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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.