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Finding the Fourth Proportional to 97,489.40, 146,234.10 and 71,245.40

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Solution

The fourth proportional to 97,489.40, 146,234.10 and 71,245.40 is: 106,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,489.40 : 146,234.10 = 71,245.40 : x
  2. Step 2: Convert to fraction form
    97,489.40/146,234.10 = 71,245.40/x
  3. Step 3: Cross multiply
    97,489.40x = 146,234.10 × 71,245.40
  4. Step 4: Simplify right side
    97,489.40x = 10,418,506,948.14
  5. Step 5: Solve for x
    x = 10,418,506,948.14/97,489.40
  6. Step 6: Final answer
    x = 106,868.10

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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.