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Finding the Fourth Proportional to 199,421.60, 299,278.20 and 132,839.60

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Solution

The fourth proportional to 199,421.60, 299,278.20 and 132,839.60 is: 199,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,421.60 : 299,278.20 = 132,839.60 : x
  2. Step 2: Convert to fraction form
    199,421.60/299,278.20 = 132,839.60/x
  3. Step 3: Cross multiply
    199,421.60x = 299,278.20 × 132,839.60
  4. Step 4: Simplify right side
    199,421.60x = 39,755,996,376.72
  5. Step 5: Solve for x
    x = 39,755,996,376.72/199,421.60
  6. Step 6: Final answer
    x = 199,356.52

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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.