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Finding the Fourth Proportional to 129,413.88, 193,960.98 and 54,507.78

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Solution

The fourth proportional to 129,413.88, 193,960.98 and 54,507.78 is: 81,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413.88 : 193,960.98 = 54,507.78 : x
  2. Step 2: Convert to fraction form
    129,413.88/193,960.98 = 54,507.78/x
  3. Step 3: Cross multiply
    129,413.88x = 193,960.98 × 54,507.78
  4. Step 4: Simplify right side
    129,413.88x = 10,572,382,426.42
  5. Step 5: Solve for x
    x = 10,572,382,426.42/129,413.88
  6. Step 6: Final answer
    x = 81,694.35

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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.