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Finding the Fourth Proportional to 83,715.87, 125,570.57 and 28,311.87

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Solution

The fourth proportional to 83,715.87, 125,570.57 and 28,311.87 is: 42,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,715.87 : 125,570.57 = 28,311.87 : x
  2. Step 2: Convert to fraction form
    83,715.87/125,570.57 = 28,311.87/x
  3. Step 3: Cross multiply
    83,715.87x = 125,570.57 × 28,311.87
  4. Step 4: Simplify right side
    83,715.87x = 3,555,137,512.11
  5. Step 5: Solve for x
    x = 3,555,137,512.11/83,715.87
  6. Step 6: Final answer
    x = 42,466.71

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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.