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Finding the Fourth Proportional to 265,876.04, 398,991.32 and 137,910.29

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Solution

The fourth proportional to 265,876.04, 398,991.32 and 137,910.29 is: 206,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,876.04 : 398,991.32 = 137,910.29 : x
  2. Step 2: Convert to fraction form
    265,876.04/398,991.32 = 137,910.29/x
  3. Step 3: Cross multiply
    265,876.04x = 398,991.32 × 137,910.29
  4. Step 4: Simplify right side
    265,876.04x = 55,025,005,964.17
  5. Step 5: Solve for x
    x = 55,025,005,964.17/265,876.04
  6. Step 6: Final answer
    x = 206,957.37

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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.