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Finding the Fourth Proportional to 82,116.63, 122,862.90 and 50,104.38

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Solution

The fourth proportional to 82,116.63, 122,862.90 and 50,104.38 is: 74,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116.63 : 122,862.90 = 50,104.38 : x
  2. Step 2: Convert to fraction form
    82,116.63/122,862.90 = 50,104.38/x
  3. Step 3: Cross multiply
    82,116.63x = 122,862.90 × 50,104.38
  4. Step 4: Simplify right side
    82,116.63x = 6,155,970,078.13
  5. Step 5: Solve for x
    x = 6,155,970,078.13/82,116.63
  6. Step 6: Final answer
    x = 74,966.18

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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.