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Finding the Fourth Proportional to 154,061.70, 231,481.35 and 97,928.70

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Solution

The fourth proportional to 154,061.70, 231,481.35 and 97,928.70 is: 147,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,061.70 : 231,481.35 = 97,928.70 : x
  2. Step 2: Convert to fraction form
    154,061.70/231,481.35 = 97,928.70/x
  3. Step 3: Cross multiply
    154,061.70x = 231,481.35 × 97,928.70
  4. Step 4: Simplify right side
    154,061.70x = 22,668,667,679.75
  5. Step 5: Solve for x
    x = 22,668,667,679.75/154,061.70
  6. Step 6: Final answer
    x = 147,140.19

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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.