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Finding the Fourth Proportional to 137,719.12, 206,135.81 and 71,068.48

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Solution

The fourth proportional to 137,719.12, 206,135.81 and 71,068.48 is: 106,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,719.12 : 206,135.81 = 71,068.48 : x
  2. Step 2: Convert to fraction form
    137,719.12/206,135.81 = 71,068.48/x
  3. Step 3: Cross multiply
    137,719.12x = 206,135.81 × 71,068.48
  4. Step 4: Simplify right side
    137,719.12x = 14,649,758,690.27
  5. Step 5: Solve for x
    x = 14,649,758,690.27/137,719.12
  6. Step 6: Final answer
    x = 106,374.18

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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.