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Finding the Fourth Proportional to 137,219.60, 205,810.20 and 43,734.80

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Solution

The fourth proportional to 137,219.60, 205,810.20 and 43,734.80 is: 65,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,219.60 : 205,810.20 = 43,734.80 : x
  2. Step 2: Convert to fraction form
    137,219.60/205,810.20 = 43,734.80/x
  3. Step 3: Cross multiply
    137,219.60x = 205,810.20 × 43,734.80
  4. Step 4: Simplify right side
    137,219.60x = 9,001,067,934.96
  5. Step 5: Solve for x
    x = 9,001,067,934.96/137,219.60
  6. Step 6: Final answer
    x = 65,596.08

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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.