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Finding the Fourth Proportional to 144,472.60, 199,384.50 and 80,815.24

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Solution

The fourth proportional to 144,472.60, 199,384.50 and 80,815.24 is: 111,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,472.60 : 199,384.50 = 80,815.24 : x
  2. Step 2: Convert to fraction form
    144,472.60/199,384.50 = 80,815.24/x
  3. Step 3: Cross multiply
    144,472.60x = 199,384.50 × 80,815.24
  4. Step 4: Simplify right side
    144,472.60x = 16,113,306,219.78
  5. Step 5: Solve for x
    x = 16,113,306,219.78/144,472.60
  6. Step 6: Final answer
    x = 111,531.92

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Why These Related Problems?

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