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Finding the Fourth Proportional to 138,010.96, 206,752.48 and 115,664.61

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Solution

The fourth proportional to 138,010.96, 206,752.48 and 115,664.61 is: 173,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,010.96 : 206,752.48 = 115,664.61 : x
  2. Step 2: Convert to fraction form
    138,010.96/206,752.48 = 115,664.61/x
  3. Step 3: Cross multiply
    138,010.96x = 206,752.48 × 115,664.61
  4. Step 4: Simplify right side
    138,010.96x = 23,913,944,676.57
  5. Step 5: Solve for x
    x = 23,913,944,676.57/138,010.96
  6. Step 6: Final answer
    x = 173,275.70

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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.