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Finding the Fourth Proportional to 70,508.90, 105,729.32 and 40,934.18

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Solution

The fourth proportional to 70,508.90, 105,729.32 and 40,934.18 is: 61,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508.90 : 105,729.32 = 40,934.18 : x
  2. Step 2: Convert to fraction form
    70,508.90/105,729.32 = 40,934.18/x
  3. Step 3: Cross multiply
    70,508.90x = 105,729.32 × 40,934.18
  4. Step 4: Simplify right side
    70,508.90x = 4,327,943,016.16
  5. Step 5: Solve for x
    x = 4,327,943,016.16/70,508.90
  6. Step 6: Final answer
    x = 61,381.51

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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.