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Finding the Fourth Proportional to 137,425.20, 206,137.80 and 119,929.20

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Solution

The fourth proportional to 137,425.20, 206,137.80 and 119,929.20 is: 179,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,425.20 : 206,137.80 = 119,929.20 : x
  2. Step 2: Convert to fraction form
    137,425.20/206,137.80 = 119,929.20/x
  3. Step 3: Cross multiply
    137,425.20x = 206,137.80 × 119,929.20
  4. Step 4: Simplify right side
    137,425.20x = 24,721,941,443.76
  5. Step 5: Solve for x
    x = 24,721,941,443.76/137,425.20
  6. Step 6: Final answer
    x = 179,893.80

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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.