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Finding the Fourth Proportional to 76,869.68, 115,264.62 and 29,470.77

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Solution

The fourth proportional to 76,869.68, 115,264.62 and 29,470.77 is: 44,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,869.68 : 115,264.62 = 29,470.77 : x
  2. Step 2: Convert to fraction form
    76,869.68/115,264.62 = 29,470.77/x
  3. Step 3: Cross multiply
    76,869.68x = 115,264.62 × 29,470.77
  4. Step 4: Simplify right side
    76,869.68x = 3,396,937,105.16
  5. Step 5: Solve for x
    x = 3,396,937,105.16/76,869.68
  6. Step 6: Final answer
    x = 44,190.86

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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.