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Finding the Fourth Proportional to 57,059.28, 78,752.70 and 38,229.24

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Solution

The fourth proportional to 57,059.28, 78,752.70 and 38,229.24 is: 52,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,059.28 : 78,752.70 = 38,229.24 : x
  2. Step 2: Convert to fraction form
    57,059.28/78,752.70 = 38,229.24/x
  3. Step 3: Cross multiply
    57,059.28x = 78,752.70 × 38,229.24
  4. Step 4: Simplify right side
    57,059.28x = 3,010,655,868.95
  5. Step 5: Solve for x
    x = 3,010,655,868.95/57,059.28
  6. Step 6: Final answer
    x = 52,763.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.