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Finding the Fourth Proportional to 129,473.92, 194,219.32 and 40,730.88

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Solution

The fourth proportional to 129,473.92, 194,219.32 and 40,730.88 is: 61,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,473.92 : 194,219.32 = 40,730.88 : x
  2. Step 2: Convert to fraction form
    129,473.92/194,219.32 = 40,730.88/x
  3. Step 3: Cross multiply
    129,473.92x = 194,219.32 × 40,730.88
  4. Step 4: Simplify right side
    129,473.92x = 7,910,723,816.60
  5. Step 5: Solve for x
    x = 7,910,723,816.60/129,473.92
  6. Step 6: Final answer
    x = 61,098.98

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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.