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Finding the Fourth Proportional to 82,862.60, 124,311.90 and 30,272

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Solution

The fourth proportional to 82,862.60, 124,311.90 and 30,272 is: 45,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862.60 : 124,311.90 = 30,272 : x
  2. Step 2: Convert to fraction form
    82,862.60/124,311.90 = 30,272/x
  3. Step 3: Cross multiply
    82,862.60x = 124,311.90 × 30,272
  4. Step 4: Simplify right side
    82,862.60x = 3,763,169,836.80
  5. Step 5: Solve for x
    x = 3,763,169,836.80/82,862.60
  6. Step 6: Final answer
    x = 45,414.58

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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.