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Finding the Fourth Proportional to 80,497.24, 120,588.78 and 52,711

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Solution

The fourth proportional to 80,497.24, 120,588.78 and 52,711 is: 78,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,497.24 : 120,588.78 = 52,711 : x
  2. Step 2: Convert to fraction form
    80,497.24/120,588.78 = 52,711/x
  3. Step 3: Cross multiply
    80,497.24x = 120,588.78 × 52,711
  4. Step 4: Simplify right side
    80,497.24x = 6,356,355,182.58
  5. Step 5: Solve for x
    x = 6,356,355,182.58/80,497.24
  6. Step 6: Final answer
    x = 78,963.64

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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.