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Finding the Fourth Proportional to 82,175.40, 123,165.90 and 42,712.20

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Solution

The fourth proportional to 82,175.40, 123,165.90 and 42,712.20 is: 64,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,175.40 : 123,165.90 = 42,712.20 : x
  2. Step 2: Convert to fraction form
    82,175.40/123,165.90 = 42,712.20/x
  3. Step 3: Cross multiply
    82,175.40x = 123,165.90 × 42,712.20
  4. Step 4: Simplify right side
    82,175.40x = 5,260,686,553.98
  5. Step 5: Solve for x
    x = 5,260,686,553.98/82,175.40
  6. Step 6: Final answer
    x = 64,017.78

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1.5x scale

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.