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Finding the Fourth Proportional to 151,689.44, 209,330 and 83,707

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Solution

The fourth proportional to 151,689.44, 209,330 and 83,707 is: 115,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,689.44 : 209,330 = 83,707 : x
  2. Step 2: Convert to fraction form
    151,689.44/209,330 = 83,707/x
  3. Step 3: Cross multiply
    151,689.44x = 209,330 × 83,707
  4. Step 4: Simplify right side
    151,689.44x = 17,522,386,310
  5. Step 5: Solve for x
    x = 17,522,386,310/151,689.44
  6. Step 6: Final answer
    x = 115,514.87

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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.