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Finding the Fourth Proportional to 129,294.78, 193,904.28 and 50,390.16

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Solution

The fourth proportional to 129,294.78, 193,904.28 and 50,390.16 is: 75,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,294.78 : 193,904.28 = 50,390.16 : x
  2. Step 2: Convert to fraction form
    129,294.78/193,904.28 = 50,390.16/x
  3. Step 3: Cross multiply
    129,294.78x = 193,904.28 × 50,390.16
  4. Step 4: Simplify right side
    129,294.78x = 9,770,867,693.88
  5. Step 5: Solve for x
    x = 9,770,867,693.88/129,294.78
  6. Step 6: Final answer
    x = 75,570.47

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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.