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Finding the Fourth Proportional to 137,911.60, 206,867.40 and 137,036.80

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Solution

The fourth proportional to 137,911.60, 206,867.40 and 137,036.80 is: 205,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,911.60 : 206,867.40 = 137,036.80 : x
  2. Step 2: Convert to fraction form
    137,911.60/206,867.40 = 137,036.80/x
  3. Step 3: Cross multiply
    137,911.60x = 206,867.40 × 137,036.80
  4. Step 4: Simplify right side
    137,911.60x = 28,348,446,520.32
  5. Step 5: Solve for x
    x = 28,348,446,520.32/137,911.60
  6. Step 6: Final answer
    x = 205,555.20

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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.