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Finding the Fourth Proportional to 137,394.58, 206,094.70 and 90,309.88

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Solution

The fourth proportional to 137,394.58, 206,094.70 and 90,309.88 is: 135,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,394.58 : 206,094.70 = 90,309.88 : x
  2. Step 2: Convert to fraction form
    137,394.58/206,094.70 = 90,309.88/x
  3. Step 3: Cross multiply
    137,394.58x = 206,094.70 × 90,309.88
  4. Step 4: Simplify right side
    137,394.58x = 18,612,387,625.64
  5. Step 5: Solve for x
    x = 18,612,387,625.64/137,394.58
  6. Step 6: Final answer
    x = 135,466.68

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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.