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Finding the Fourth Proportional to 76,866.53, 115,191.42 and 36,296.76

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Solution

The fourth proportional to 76,866.53, 115,191.42 and 36,296.76 is: 54,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866.53 : 115,191.42 = 36,296.76 : x
  2. Step 2: Convert to fraction form
    76,866.53/115,191.42 = 36,296.76/x
  3. Step 3: Cross multiply
    76,866.53x = 115,191.42 × 36,296.76
  4. Step 4: Simplify right side
    76,866.53x = 4,181,074,663.04
  5. Step 5: Solve for x
    x = 4,181,074,663.04/76,866.53
  6. Step 6: Final answer
    x = 54,393.96

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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.