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Finding the Fourth Proportional to 71,282,981.65, 106,969,451.92 and 30,342,355.42

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Solution

The fourth proportional to 71,282,981.65, 106,969,451.92 and 30,342,355.42 is: 45,532,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,282,981.65 : 106,969,451.92 = 30,342,355.42 : x
  2. Step 2: Convert to fraction form
    71,282,981.65/106,969,451.92 = 30,342,355.42/x
  3. Step 3: Cross multiply
    71,282,981.65x = 106,969,451.92 × 30,342,355.42
  4. Step 4: Simplify right side
    71,282,981.65x = 3,245,705,129,239,241.50
  5. Step 5: Solve for x
    x = 3,245,705,129,239,241.50/71,282,981.65
  6. Step 6: Final answer
    x = 45,532,679.11

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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.