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Finding the Fourth Proportional to 73,200.24, 109,711.80 and 52,380

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Solution

The fourth proportional to 73,200.24, 109,711.80 and 52,380 is: 78,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,200.24 : 109,711.80 = 52,380 : x
  2. Step 2: Convert to fraction form
    73,200.24/109,711.80 = 52,380/x
  3. Step 3: Cross multiply
    73,200.24x = 109,711.80 × 52,380
  4. Step 4: Simplify right side
    73,200.24x = 5,746,704,084
  5. Step 5: Solve for x
    x = 5,746,704,084/73,200.24
  6. Step 6: Final answer
    x = 78,506.63

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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.