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Finding the Fourth Proportional to 128,761.50, 192,359.02 and 83,413.71

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Solution

The fourth proportional to 128,761.50, 192,359.02 and 83,413.71 is: 124,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,761.50 : 192,359.02 = 83,413.71 : x
  2. Step 2: Convert to fraction form
    128,761.50/192,359.02 = 83,413.71/x
  3. Step 3: Cross multiply
    128,761.50x = 192,359.02 × 83,413.71
  4. Step 4: Simplify right side
    128,761.50x = 16,045,378,917.02
  5. Step 5: Solve for x
    x = 16,045,378,917.02/128,761.50
  6. Step 6: Final answer
    x = 124,613.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.