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Finding the Fourth Proportional to 76,920.44, 115,380.65 and 61,436.48

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Solution

The fourth proportional to 76,920.44, 115,380.65 and 61,436.48 is: 92,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,920.44 : 115,380.65 = 61,436.48 : x
  2. Step 2: Convert to fraction form
    76,920.44/115,380.65 = 61,436.48/x
  3. Step 3: Cross multiply
    76,920.44x = 115,380.65 × 61,436.48
  4. Step 4: Simplify right side
    76,920.44x = 7,088,580,572.80
  5. Step 5: Solve for x
    x = 7,088,580,572.80/76,920.44
  6. Step 6: Final answer
    x = 92,154.71

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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.