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Finding the Fourth Proportional to 221,646.68, 332,962.10 and 137,469.05

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Solution

The fourth proportional to 221,646.68, 332,962.10 and 137,469.05 is: 206,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,646.68 : 332,962.10 = 137,469.05 : x
  2. Step 2: Convert to fraction form
    221,646.68/332,962.10 = 137,469.05/x
  3. Step 3: Cross multiply
    221,646.68x = 332,962.10 × 137,469.05
  4. Step 4: Simplify right side
    221,646.68x = 45,771,984,233.57
  5. Step 5: Solve for x
    x = 45,771,984,233.57/221,646.68
  6. Step 6: Final answer
    x = 206,508.77

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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.