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Finding the Fourth Proportional to 188,438.92, 260,044.86 and 107,866

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Solution

The fourth proportional to 188,438.92, 260,044.86 and 107,866 is: 148,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,438.92 : 260,044.86 = 107,866 : x
  2. Step 2: Convert to fraction form
    188,438.92/260,044.86 = 107,866/x
  3. Step 3: Cross multiply
    188,438.92x = 260,044.86 × 107,866
  4. Step 4: Simplify right side
    188,438.92x = 28,049,998,868.76
  5. Step 5: Solve for x
    x = 28,049,998,868.76/188,438.92
  6. Step 6: Final answer
    x = 148,854.59

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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.