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Finding the Fourth Proportional to 138,005.71, 206,744.60 and 115,659.33

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Solution

The fourth proportional to 138,005.71, 206,744.60 and 115,659.33 is: 173,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,005.71 : 206,744.60 = 115,659.33 : x
  2. Step 2: Convert to fraction form
    138,005.71/206,744.60 = 115,659.33/x
  3. Step 3: Cross multiply
    138,005.71x = 206,744.60 × 115,659.33
  4. Step 4: Simplify right side
    138,005.71x = 23,911,941,430.97
  5. Step 5: Solve for x
    x = 23,911,941,430.97/138,005.71
  6. Step 6: Final answer
    x = 173,267.77

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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.