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Finding the Fourth Proportional to 76,957.20, 115,529.40 and 48,877.20

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Solution

The fourth proportional to 76,957.20, 115,529.40 and 48,877.20 is: 73,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,957.20 : 115,529.40 = 48,877.20 : x
  2. Step 2: Convert to fraction form
    76,957.20/115,529.40 = 48,877.20/x
  3. Step 3: Cross multiply
    76,957.20x = 115,529.40 × 48,877.20
  4. Step 4: Simplify right side
    76,957.20x = 5,646,753,589.68
  5. Step 5: Solve for x
    x = 5,646,753,589.68/76,957.20
  6. Step 6: Final answer
    x = 73,375.25

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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.