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Finding the Fourth Proportional to 82,429.40, 123,546.90 and 42,966.20

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Solution

The fourth proportional to 82,429.40, 123,546.90 and 42,966.20 is: 64,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,429.40 : 123,546.90 = 42,966.20 : x
  2. Step 2: Convert to fraction form
    82,429.40/123,546.90 = 42,966.20/x
  3. Step 3: Cross multiply
    82,429.40x = 123,546.90 × 42,966.20
  4. Step 4: Simplify right side
    82,429.40x = 5,308,340,814.78
  5. Step 5: Solve for x
    x = 5,308,340,814.78/82,429.40
  6. Step 6: Final answer
    x = 64,398.63

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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.