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Finding the Fourth Proportional to 83,798.40, 125,738.56 and 39,429.56

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Solution

The fourth proportional to 83,798.40, 125,738.56 and 39,429.56 is: 59,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,798.40 : 125,738.56 = 39,429.56 : x
  2. Step 2: Convert to fraction form
    83,798.40/125,738.56 = 39,429.56/x
  3. Step 3: Cross multiply
    83,798.40x = 125,738.56 × 39,429.56
  4. Step 4: Simplify right side
    83,798.40x = 4,957,816,095.83
  5. Step 5: Solve for x
    x = 4,957,816,095.83/83,798.40
  6. Step 6: Final answer
    x = 59,163.61

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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.