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Finding the Fourth Proportional to 101,631.32, 152,422.46 and 42,434.90

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Solution

The fourth proportional to 101,631.32, 152,422.46 and 42,434.90 is: 63,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,631.32 : 152,422.46 = 42,434.90 : x
  2. Step 2: Convert to fraction form
    101,631.32/152,422.46 = 42,434.90/x
  3. Step 3: Cross multiply
    101,631.32x = 152,422.46 × 42,434.90
  4. Step 4: Simplify right side
    101,631.32x = 6,468,031,847.85
  5. Step 5: Solve for x
    x = 6,468,031,847.85/101,631.32
  6. Step 6: Final answer
    x = 63,642.11

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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.