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Finding the Fourth Proportional to 76,881.85, 115,338.34 and 32,508.53

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Solution

The fourth proportional to 76,881.85, 115,338.34 and 32,508.53 is: 48,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881.85 : 115,338.34 = 32,508.53 : x
  2. Step 2: Convert to fraction form
    76,881.85/115,338.34 = 32,508.53/x
  3. Step 3: Cross multiply
    76,881.85x = 115,338.34 × 32,508.53
  4. Step 4: Simplify right side
    76,881.85x = 3,749,479,886.04
  5. Step 5: Solve for x
    x = 3,749,479,886.04/76,881.85
  6. Step 6: Final answer
    x = 48,769.38

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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.