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Finding the Fourth Proportional to 217,042.40, 325,563.60 and 138,213.20

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Solution

The fourth proportional to 217,042.40, 325,563.60 and 138,213.20 is: 207,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042.40 : 325,563.60 = 138,213.20 : x
  2. Step 2: Convert to fraction form
    217,042.40/325,563.60 = 138,213.20/x
  3. Step 3: Cross multiply
    217,042.40x = 325,563.60 × 138,213.20
  4. Step 4: Simplify right side
    217,042.40x = 44,997,186,959.52
  5. Step 5: Solve for x
    x = 44,997,186,959.52/217,042.40
  6. Step 6: Final answer
    x = 207,319.80

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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.