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Finding the Fourth Proportional to 82,572.84, 123,892.08 and 26,421.60

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Solution

The fourth proportional to 82,572.84, 123,892.08 and 26,421.60 is: 39,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,572.84 : 123,892.08 = 26,421.60 : x
  2. Step 2: Convert to fraction form
    82,572.84/123,892.08 = 26,421.60/x
  3. Step 3: Cross multiply
    82,572.84x = 123,892.08 × 26,421.60
  4. Step 4: Simplify right side
    82,572.84x = 3,273,426,980.93
  5. Step 5: Solve for x
    x = 3,273,426,980.93/82,572.84
  6. Step 6: Final answer
    x = 39,642.90

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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.