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Finding the Fourth Proportional to 76,943.60, 115,431.60 and 24,358.40

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Solution

The fourth proportional to 76,943.60, 115,431.60 and 24,358.40 is: 36,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,943.60 : 115,431.60 = 24,358.40 : x
  2. Step 2: Convert to fraction form
    76,943.60/115,431.60 = 24,358.40/x
  3. Step 3: Cross multiply
    76,943.60x = 115,431.60 × 24,358.40
  4. Step 4: Simplify right side
    76,943.60x = 2,811,729,085.44
  5. Step 5: Solve for x
    x = 2,811,729,085.44/76,943.60
  6. Step 6: Final answer
    x = 36,542.73

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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.