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Finding the Fourth Proportional to 80,769.40, 121,178.40 and 43,347.40

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Solution

The fourth proportional to 80,769.40, 121,178.40 and 43,347.40 is: 65,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,769.40 : 121,178.40 = 43,347.40 : x
  2. Step 2: Convert to fraction form
    80,769.40/121,178.40 = 43,347.40/x
  3. Step 3: Cross multiply
    80,769.40x = 121,178.40 × 43,347.40
  4. Step 4: Simplify right side
    80,769.40x = 5,252,768,576.16
  5. Step 5: Solve for x
    x = 5,252,768,576.16/80,769.40
  6. Step 6: Final answer
    x = 65,034.14

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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.