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Finding the Fourth Proportional to 82,781.34, 124,150.14 and 23,620.38

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Solution

The fourth proportional to 82,781.34, 124,150.14 and 23,620.38 is: 35,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,781.34 : 124,150.14 = 23,620.38 : x
  2. Step 2: Convert to fraction form
    82,781.34/124,150.14 = 23,620.38/x
  3. Step 3: Cross multiply
    82,781.34x = 124,150.14 × 23,620.38
  4. Step 4: Simplify right side
    82,781.34x = 2,932,473,483.85
  5. Step 5: Solve for x
    x = 2,932,473,483.85/82,781.34
  6. Step 6: Final answer
    x = 35,424.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.