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Finding the Fourth Proportional to 243,376.30, 335,855.73 and 135,947.80

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Solution

The fourth proportional to 243,376.30, 335,855.73 and 135,947.80 is: 187,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,376.30 : 335,855.73 = 135,947.80 : x
  2. Step 2: Convert to fraction form
    243,376.30/335,855.73 = 135,947.80/x
  3. Step 3: Cross multiply
    243,376.30x = 335,855.73 × 135,947.80
  4. Step 4: Simplify right side
    243,376.30x = 45,658,847,610.89
  5. Step 5: Solve for x
    x = 45,658,847,610.89/243,376.30
  6. Step 6: Final answer
    x = 187,605.97

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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.