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Finding the Fourth Proportional to 243,294.57, 335,713.23 and 135,850.86

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Solution

The fourth proportional to 243,294.57, 335,713.23 and 135,850.86 is: 187,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,294.57 : 335,713.23 = 135,850.86 : x
  2. Step 2: Convert to fraction form
    243,294.57/335,713.23 = 135,850.86/x
  3. Step 3: Cross multiply
    243,294.57x = 335,713.23 × 135,850.86
  4. Step 4: Simplify right side
    243,294.57x = 45,606,931,008.88
  5. Step 5: Solve for x
    x = 45,606,931,008.88/243,294.57
  6. Step 6: Final answer
    x = 187,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.