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Finding the Fourth Proportional to 128,419.26, 177,226.47 and 71,834.46

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Solution

The fourth proportional to 128,419.26, 177,226.47 and 71,834.46 is: 99,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,419.26 : 177,226.47 = 71,834.46 : x
  2. Step 2: Convert to fraction form
    128,419.26/177,226.47 = 71,834.46/x
  3. Step 3: Cross multiply
    128,419.26x = 177,226.47 × 71,834.46
  4. Step 4: Simplify right side
    128,419.26x = 12,730,967,770.16
  5. Step 5: Solve for x
    x = 12,730,967,770.16/128,419.26
  6. Step 6: Final answer
    x = 99,135.97

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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.