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Finding the Fourth Proportional to 77,104.80, 115,607.52 and 32,157

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Solution

The fourth proportional to 77,104.80, 115,607.52 and 32,157 is: 48,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104.80 : 115,607.52 = 32,157 : x
  2. Step 2: Convert to fraction form
    77,104.80/115,607.52 = 32,157/x
  3. Step 3: Cross multiply
    77,104.80x = 115,607.52 × 32,157
  4. Step 4: Simplify right side
    77,104.80x = 3,717,591,020.64
  5. Step 5: Solve for x
    x = 3,717,591,020.64/77,104.80
  6. Step 6: Final answer
    x = 48,214.78

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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.