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Finding the Fourth Proportional to 82,171.84, 123,319.80 and 40,045.36

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Solution

The fourth proportional to 82,171.84, 123,319.80 and 40,045.36 is: 60,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,171.84 : 123,319.80 = 40,045.36 : x
  2. Step 2: Convert to fraction form
    82,171.84/123,319.80 = 40,045.36/x
  3. Step 3: Cross multiply
    82,171.84x = 123,319.80 × 40,045.36
  4. Step 4: Simplify right side
    82,171.84x = 4,938,385,786.13
  5. Step 5: Solve for x
    x = 4,938,385,786.13/82,171.84
  6. Step 6: Final answer
    x = 60,098.27

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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.