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Finding the Fourth Proportional to 133,031.80, 199,547.70 and 80,414.20

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Solution

The fourth proportional to 133,031.80, 199,547.70 and 80,414.20 is: 120,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,031.80 : 199,547.70 = 80,414.20 : x
  2. Step 2: Convert to fraction form
    133,031.80/199,547.70 = 80,414.20/x
  3. Step 3: Cross multiply
    133,031.80x = 199,547.70 × 80,414.20
  4. Step 4: Simplify right side
    133,031.80x = 16,046,468,657.34
  5. Step 5: Solve for x
    x = 16,046,468,657.34/133,031.80
  6. Step 6: Final answer
    x = 120,621.30

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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.