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Finding the Fourth Proportional to 129,262, 193,891.55 and 50,431.59

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Solution

The fourth proportional to 129,262, 193,891.55 and 50,431.59 is: 75,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,262 : 193,891.55 = 50,431.59 : x
  2. Step 2: Convert to fraction form
    129,262/193,891.55 = 50,431.59/x
  3. Step 3: Cross multiply
    129,262x = 193,891.55 × 50,431.59
  4. Step 4: Simplify right side
    129,262x = 9,778,259,154.06
  5. Step 5: Solve for x
    x = 9,778,259,154.06/129,262
  6. Step 6: Final answer
    x = 75,646.82

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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.