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Finding the Fourth Proportional to 217,222.80, 326,125.80 and 138,685.20

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Solution

The fourth proportional to 217,222.80, 326,125.80 and 138,685.20 is: 208,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,222.80 : 326,125.80 = 138,685.20 : x
  2. Step 2: Convert to fraction form
    217,222.80/326,125.80 = 138,685.20/x
  3. Step 3: Cross multiply
    217,222.80x = 326,125.80 × 138,685.20
  4. Step 4: Simplify right side
    217,222.80x = 45,228,821,798.16
  5. Step 5: Solve for x
    x = 45,228,821,798.16/217,222.80
  6. Step 6: Final answer
    x = 208,213.97

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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.