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Finding the Fourth Proportional to 137,321.40, 205,790.10 and 109,289.40

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Solution

The fourth proportional to 137,321.40, 205,790.10 and 109,289.40 is: 163,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,321.40 : 205,790.10 = 109,289.40 : x
  2. Step 2: Convert to fraction form
    137,321.40/205,790.10 = 109,289.40/x
  3. Step 3: Cross multiply
    137,321.40x = 205,790.10 × 109,289.40
  4. Step 4: Simplify right side
    137,321.40x = 22,490,676,554.94
  5. Step 5: Solve for x
    x = 22,490,676,554.94/137,321.40
  6. Step 6: Final answer
    x = 163,781.29

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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.