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Finding the Fourth Proportional to 137,748.60, 206,331.30 and 108,005.40

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Solution

The fourth proportional to 137,748.60, 206,331.30 and 108,005.40 is: 161,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,748.60 : 206,331.30 = 108,005.40 : x
  2. Step 2: Convert to fraction form
    137,748.60/206,331.30 = 108,005.40/x
  3. Step 3: Cross multiply
    137,748.60x = 206,331.30 × 108,005.40
  4. Step 4: Simplify right side
    137,748.60x = 22,284,894,589.02
  5. Step 5: Solve for x
    x = 22,284,894,589.02/137,748.60
  6. Step 6: Final answer
    x = 161,779.46

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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.