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Finding the Fourth Proportional to 188,854.54, 260,612.92 and 102,811.90

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Solution

The fourth proportional to 188,854.54, 260,612.92 and 102,811.90 is: 141,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,854.54 : 260,612.92 = 102,811.90 : x
  2. Step 2: Convert to fraction form
    188,854.54/260,612.92 = 102,811.90/x
  3. Step 3: Cross multiply
    188,854.54x = 260,612.92 × 102,811.90
  4. Step 4: Simplify right side
    188,854.54x = 26,794,107,721.46
  5. Step 5: Solve for x
    x = 26,794,107,721.46/188,854.54
  6. Step 6: Final answer
    x = 141,876.96

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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.