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Finding the Fourth Proportional to 137,988.89, 206,787.32 and 106,279.01

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Solution

The fourth proportional to 137,988.89, 206,787.32 and 106,279.01 is: 159,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,988.89 : 206,787.32 = 106,279.01 : x
  2. Step 2: Convert to fraction form
    137,988.89/206,787.32 = 106,279.01/x
  3. Step 3: Cross multiply
    137,988.89x = 206,787.32 × 106,279.01
  4. Step 4: Simplify right side
    137,988.89x = 21,977,151,118.76
  5. Step 5: Solve for x
    x = 21,977,151,118.76/137,988.89
  6. Step 6: Final answer
    x = 159,267.54

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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.