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Finding the Fourth Proportional to 101,631.92, 152,423.28 and 42,435.44

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Solution

The fourth proportional to 101,631.92, 152,423.28 and 42,435.44 is: 63,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,631.92 : 152,423.28 = 42,435.44 : x
  2. Step 2: Convert to fraction form
    101,631.92/152,423.28 = 42,435.44/x
  3. Step 3: Cross multiply
    101,631.92x = 152,423.28 × 42,435.44
  4. Step 4: Simplify right side
    101,631.92x = 6,468,148,953.04
  5. Step 5: Solve for x
    x = 6,468,148,953.04/101,631.92
  6. Step 6: Final answer
    x = 63,642.89

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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.