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Finding the Fourth Proportional to 76,781.71, 115,023.12 and 43,400.80

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Solution

The fourth proportional to 76,781.71, 115,023.12 and 43,400.80 is: 65,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,781.71 : 115,023.12 = 43,400.80 : x
  2. Step 2: Convert to fraction form
    76,781.71/115,023.12 = 43,400.80/x
  3. Step 3: Cross multiply
    76,781.71x = 115,023.12 × 43,400.80
  4. Step 4: Simplify right side
    76,781.71x = 4,992,095,426.50
  5. Step 5: Solve for x
    x = 4,992,095,426.50/76,781.71
  6. Step 6: Final answer
    x = 65,016.73

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1.5x scale

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.