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Finding the Fourth Proportional to 83,838.65, 115,745.15 and 55,582.61

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Solution

The fourth proportional to 83,838.65, 115,745.15 and 55,582.61 is: 76,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.65 : 115,745.15 = 55,582.61 : x
  2. Step 2: Convert to fraction form
    83,838.65/115,745.15 = 55,582.61/x
  3. Step 3: Cross multiply
    83,838.65x = 115,745.15 × 55,582.61
  4. Step 4: Simplify right side
    83,838.65x = 6,433,417,092.07
  5. Step 5: Solve for x
    x = 6,433,417,092.07/83,838.65
  6. Step 6: Final answer
    x = 76,735.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.