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Finding the Fourth Proportional to 130,871.20, 196,015.20 and 113,375.20

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Solution

The fourth proportional to 130,871.20, 196,015.20 and 113,375.20 is: 169,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,871.20 : 196,015.20 = 113,375.20 : x
  2. Step 2: Convert to fraction form
    130,871.20/196,015.20 = 113,375.20/x
  3. Step 3: Cross multiply
    130,871.20x = 196,015.20 × 113,375.20
  4. Step 4: Simplify right side
    130,871.20x = 22,223,262,503.04
  5. Step 5: Solve for x
    x = 22,223,262,503.04/130,871.20
  6. Step 6: Final answer
    x = 169,810.18

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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.