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Finding the Fourth Proportional to 243,012.45, 364,026.60 and 137,708.40

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Solution

The fourth proportional to 243,012.45, 364,026.60 and 137,708.40 is: 206,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,012.45 : 364,026.60 = 137,708.40 : x
  2. Step 2: Convert to fraction form
    243,012.45/364,026.60 = 137,708.40/x
  3. Step 3: Cross multiply
    243,012.45x = 364,026.60 × 137,708.40
  4. Step 4: Simplify right side
    243,012.45x = 50,129,520,643.44
  5. Step 5: Solve for x
    x = 50,129,520,643.44/243,012.45
  6. Step 6: Final answer
    x = 206,283.75

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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.