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Finding the Fourth Proportional to 243,049.56, 364,631.05 and 83,126.74

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Solution

The fourth proportional to 243,049.56, 364,631.05 and 83,126.74 is: 124,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,049.56 : 364,631.05 = 83,126.74 : x
  2. Step 2: Convert to fraction form
    243,049.56/364,631.05 = 83,126.74/x
  3. Step 3: Cross multiply
    243,049.56x = 364,631.05 × 83,126.74
  4. Step 4: Simplify right side
    243,049.56x = 30,310,588,250.49
  5. Step 5: Solve for x
    x = 30,310,588,250.49/243,049.56
  6. Step 6: Final answer
    x = 124,709.50

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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.