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Finding the Fourth Proportional to 80,282.34, 120,498.23 and 40,868.96

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Solution

The fourth proportional to 80,282.34, 120,498.23 and 40,868.96 is: 61,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,282.34 : 120,498.23 = 40,868.96 : x
  2. Step 2: Convert to fraction form
    80,282.34/120,498.23 = 40,868.96/x
  3. Step 3: Cross multiply
    80,282.34x = 120,498.23 × 40,868.96
  4. Step 4: Simplify right side
    80,282.34x = 4,924,636,841.62
  5. Step 5: Solve for x
    x = 4,924,636,841.62/80,282.34
  6. Step 6: Final answer
    x = 61,341.47

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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.