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Finding the Fourth Proportional to 125,905.92, 188,976 and 63,620.16

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Solution

The fourth proportional to 125,905.92, 188,976 and 63,620.16 is: 95,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,905.92 : 188,976 = 63,620.16 : x
  2. Step 2: Convert to fraction form
    125,905.92/188,976 = 63,620.16/x
  3. Step 3: Cross multiply
    125,905.92x = 188,976 × 63,620.16
  4. Step 4: Simplify right side
    125,905.92x = 12,022,683,356.16
  5. Step 5: Solve for x
    x = 12,022,683,356.16/125,905.92
  6. Step 6: Final answer
    x = 95,489.42

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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.