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Finding the Fourth Proportional to 137,074.40, 205,419.60 and 109,042.40

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Solution

The fourth proportional to 137,074.40, 205,419.60 and 109,042.40 is: 163,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.40 : 205,419.60 = 109,042.40 : x
  2. Step 2: Convert to fraction form
    137,074.40/205,419.60 = 109,042.40/x
  3. Step 3: Cross multiply
    137,074.40x = 205,419.60 × 109,042.40
  4. Step 4: Simplify right side
    137,074.40x = 22,399,446,191.04
  5. Step 5: Solve for x
    x = 22,399,446,191.04/137,074.40
  6. Step 6: Final answer
    x = 163,410.86

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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.