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Finding the Fourth Proportional to 101,645.56, 152,440.80 and 42,468.85

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Solution

The fourth proportional to 101,645.56, 152,440.80 and 42,468.85 is: 63,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,645.56 : 152,440.80 = 42,468.85 : x
  2. Step 2: Convert to fraction form
    101,645.56/152,440.80 = 42,468.85/x
  3. Step 3: Cross multiply
    101,645.56x = 152,440.80 × 42,468.85
  4. Step 4: Simplify right side
    101,645.56x = 6,473,985,469.08
  5. Step 5: Solve for x
    x = 6,473,985,469.08/101,645.56
  6. Step 6: Final answer
    x = 63,691.77

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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.