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Finding the Fourth Proportional to 129,781.60, 179,034.24 and 83,825.44

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Solution

The fourth proportional to 129,781.60, 179,034.24 and 83,825.44 is: 115,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,781.60 : 179,034.24 = 83,825.44 : x
  2. Step 2: Convert to fraction form
    129,781.60/179,034.24 = 83,825.44/x
  3. Step 3: Cross multiply
    129,781.60x = 179,034.24 × 83,825.44
  4. Step 4: Simplify right side
    129,781.60x = 15,007,623,943.07
  5. Step 5: Solve for x
    x = 15,007,623,943.07/129,781.60
  6. Step 6: Final answer
    x = 115,637.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.