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Finding the Fourth Proportional to 243,020.80, 364,531.20 and 138,044.80

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Solution

The fourth proportional to 243,020.80, 364,531.20 and 138,044.80 is: 207,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,020.80 : 364,531.20 = 138,044.80 : x
  2. Step 2: Convert to fraction form
    243,020.80/364,531.20 = 138,044.80/x
  3. Step 3: Cross multiply
    243,020.80x = 364,531.20 × 138,044.80
  4. Step 4: Simplify right side
    243,020.80x = 50,321,636,597.76
  5. Step 5: Solve for x
    x = 50,321,636,597.76/243,020.80
  6. Step 6: Final answer
    x = 207,067.20

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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.