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Finding the Fourth Proportional to 82,158.71, 123,164.19 and 29,531.25

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Solution

The fourth proportional to 82,158.71, 123,164.19 and 29,531.25 is: 44,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,158.71 : 123,164.19 = 29,531.25 : x
  2. Step 2: Convert to fraction form
    82,158.71/123,164.19 = 29,531.25/x
  3. Step 3: Cross multiply
    82,158.71x = 123,164.19 × 29,531.25
  4. Step 4: Simplify right side
    82,158.71x = 3,637,192,485.94
  5. Step 5: Solve for x
    x = 3,637,192,485.94/82,158.71
  6. Step 6: Final answer
    x = 44,270.32

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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.