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Finding the Fourth Proportional to 188,711.16, 260,537.76 and 129,876

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Solution

The fourth proportional to 188,711.16, 260,537.76 and 129,876 is: 179,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,711.16 : 260,537.76 = 129,876 : x
  2. Step 2: Convert to fraction form
    188,711.16/260,537.76 = 129,876/x
  3. Step 3: Cross multiply
    188,711.16x = 260,537.76 × 129,876
  4. Step 4: Simplify right side
    188,711.16x = 33,837,602,117.76
  5. Step 5: Solve for x
    x = 33,837,602,117.76/188,711.16
  6. Step 6: Final answer
    x = 179,308.96

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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.