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Finding the Fourth Proportional to 162,265.80, 243,147.84 and 126,642.66

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Solution

The fourth proportional to 162,265.80, 243,147.84 and 126,642.66 is: 189,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,265.80 : 243,147.84 = 126,642.66 : x
  2. Step 2: Convert to fraction form
    162,265.80/243,147.84 = 126,642.66/x
  3. Step 3: Cross multiply
    162,265.80x = 243,147.84 × 126,642.66
  4. Step 4: Simplify right side
    162,265.80x = 30,792,889,230.85
  5. Step 5: Solve for x
    x = 30,792,889,230.85/162,265.80
  6. Step 6: Final answer
    x = 189,768.20

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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.