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Finding the Fourth Proportional to 76,909.60, 115,364.40 and 57,226.60

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Solution

The fourth proportional to 76,909.60, 115,364.40 and 57,226.60 is: 85,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,909.60 : 115,364.40 = 57,226.60 : x
  2. Step 2: Convert to fraction form
    76,909.60/115,364.40 = 57,226.60/x
  3. Step 3: Cross multiply
    76,909.60x = 115,364.40 × 57,226.60
  4. Step 4: Simplify right side
    76,909.60x = 6,601,912,373.04
  5. Step 5: Solve for x
    x = 6,601,912,373.04/76,909.60
  6. Step 6: Final answer
    x = 85,839.90

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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.