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Finding the Fourth Proportional to 130,850, 196,278.24 and 47,744

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Solution

The fourth proportional to 130,850, 196,278.24 and 47,744 is: 71,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,850 : 196,278.24 = 47,744 : x
  2. Step 2: Convert to fraction form
    130,850/196,278.24 = 47,744/x
  3. Step 3: Cross multiply
    130,850x = 196,278.24 × 47,744
  4. Step 4: Simplify right side
    130,850x = 9,371,108,290.56
  5. Step 5: Solve for x
    x = 9,371,108,290.56/130,850
  6. Step 6: Final answer
    x = 71,617.18

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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.