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Finding the Fourth Proportional to 76,815, 115,267.86 and 32,438.88

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Solution

The fourth proportional to 76,815, 115,267.86 and 32,438.88 is: 48,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,815 : 115,267.86 = 32,438.88 : x
  2. Step 2: Convert to fraction form
    76,815/115,267.86 = 32,438.88/x
  3. Step 3: Cross multiply
    76,815x = 115,267.86 × 32,438.88
  4. Step 4: Simplify right side
    76,815x = 3,739,160,278.40
  5. Step 5: Solve for x
    x = 3,739,160,278.40/76,815
  6. Step 6: Final answer
    x = 48,677.48

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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.