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Finding the Fourth Proportional to 243,039.80, 364,559.70 and 136,314.20

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Solution

The fourth proportional to 243,039.80, 364,559.70 and 136,314.20 is: 204,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,039.80 : 364,559.70 = 136,314.20 : x
  2. Step 2: Convert to fraction form
    243,039.80/364,559.70 = 136,314.20/x
  3. Step 3: Cross multiply
    243,039.80x = 364,559.70 × 136,314.20
  4. Step 4: Simplify right side
    243,039.80x = 49,694,663,857.74
  5. Step 5: Solve for x
    x = 49,694,663,857.74/243,039.80
  6. Step 6: Final answer
    x = 204,471.30

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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.