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Finding the Fourth Proportional to 101,565.20, 152,361.96 and 42,387.32

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Solution

The fourth proportional to 101,565.20, 152,361.96 and 42,387.32 is: 63,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,565.20 : 152,361.96 = 42,387.32 : x
  2. Step 2: Convert to fraction form
    101,565.20/152,361.96 = 42,387.32/x
  3. Step 3: Cross multiply
    101,565.20x = 152,361.96 × 42,387.32
  4. Step 4: Simplify right side
    101,565.20x = 6,458,215,154.35
  5. Step 5: Solve for x
    x = 6,458,215,154.35/101,565.20
  6. Step 6: Final answer
    x = 63,586.89

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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.