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Finding the Fourth Proportional to 83,904, 125,856 and 34,657.28

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Solution

The fourth proportional to 83,904, 125,856 and 34,657.28 is: 51,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,904 : 125,856 = 34,657.28 : x
  2. Step 2: Convert to fraction form
    83,904/125,856 = 34,657.28/x
  3. Step 3: Cross multiply
    83,904x = 125,856 × 34,657.28
  4. Step 4: Simplify right side
    83,904x = 4,361,826,631.68
  5. Step 5: Solve for x
    x = 4,361,826,631.68/83,904
  6. Step 6: Final answer
    x = 51,985.92

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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.