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Finding the Fourth Proportional to 129,009.71, 193,413.17 and 81,524.93

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Solution

The fourth proportional to 129,009.71, 193,413.17 and 81,524.93 is: 122,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,009.71 : 193,413.17 = 81,524.93 : x
  2. Step 2: Convert to fraction form
    129,009.71/193,413.17 = 81,524.93/x
  3. Step 3: Cross multiply
    129,009.71x = 193,413.17 × 81,524.93
  4. Step 4: Simplify right side
    129,009.71x = 15,767,995,183.28
  5. Step 5: Solve for x
    x = 15,767,995,183.28/129,009.71
  6. Step 6: Final answer
    x = 122,223.32

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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.