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Finding the Fourth Proportional to 137,778.90, 206,230.95 and 127,281.30

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Solution

The fourth proportional to 137,778.90, 206,230.95 and 127,281.30 is: 190,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,778.90 : 206,230.95 = 127,281.30 : x
  2. Step 2: Convert to fraction form
    137,778.90/206,230.95 = 127,281.30/x
  3. Step 3: Cross multiply
    137,778.90x = 206,230.95 × 127,281.30
  4. Step 4: Simplify right side
    137,778.90x = 26,249,343,416.24
  5. Step 5: Solve for x
    x = 26,249,343,416.24/137,778.90
  6. Step 6: Final answer
    x = 190,517.88

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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.