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Finding the Fourth Proportional to 70,870.68, 106,306.16 and 66,540.42

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Solution

The fourth proportional to 70,870.68, 106,306.16 and 66,540.42 is: 99,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,870.68 : 106,306.16 = 66,540.42 : x
  2. Step 2: Convert to fraction form
    70,870.68/106,306.16 = 66,540.42/x
  3. Step 3: Cross multiply
    70,870.68x = 106,306.16 × 66,540.42
  4. Step 4: Simplify right side
    70,870.68x = 7,073,656,202.29
  5. Step 5: Solve for x
    x = 7,073,656,202.29/70,870.68
  6. Step 6: Final answer
    x = 99,810.76

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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.