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Finding the Fourth Proportional to 137,042.57, 205,470.31 and 73,010.29

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Solution

The fourth proportional to 137,042.57, 205,470.31 and 73,010.29 is: 109,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,042.57 : 205,470.31 = 73,010.29 : x
  2. Step 2: Convert to fraction form
    137,042.57/205,470.31 = 73,010.29/x
  3. Step 3: Cross multiply
    137,042.57x = 205,470.31 × 73,010.29
  4. Step 4: Simplify right side
    137,042.57x = 15,001,446,919.49
  5. Step 5: Solve for x
    x = 15,001,446,919.49/137,042.57
  6. Step 6: Final answer
    x = 109,465.60

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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.