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Finding the Fourth Proportional to 48,463.20, 72,694.80 and 31,874.40

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Solution

The fourth proportional to 48,463.20, 72,694.80 and 31,874.40 is: 47,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,463.20 : 72,694.80 = 31,874.40 : x
  2. Step 2: Convert to fraction form
    48,463.20/72,694.80 = 31,874.40/x
  3. Step 3: Cross multiply
    48,463.20x = 72,694.80 × 31,874.40
  4. Step 4: Simplify right side
    48,463.20x = 2,317,103,133.12
  5. Step 5: Solve for x
    x = 2,317,103,133.12/48,463.20
  6. Step 6: Final answer
    x = 47,811.60

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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.