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Finding the Fourth Proportional to 243,086.64, 335,476.42 and 135,677.82

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Solution

The fourth proportional to 243,086.64, 335,476.42 and 135,677.82 is: 187,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,086.64 : 335,476.42 = 135,677.82 : x
  2. Step 2: Convert to fraction form
    243,086.64/335,476.42 = 135,677.82/x
  3. Step 3: Cross multiply
    243,086.64x = 335,476.42 × 135,677.82
  4. Step 4: Simplify right side
    243,086.64x = 45,516,709,327.00
  5. Step 5: Solve for x
    x = 45,516,709,327.00/243,086.64
  6. Step 6: Final answer
    x = 187,244.80

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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.