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Finding the Fourth Proportional to 238,142.97, 328,667.63 and 137,540.97

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Solution

The fourth proportional to 238,142.97, 328,667.63 and 137,540.97 is: 189,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,142.97 : 328,667.63 = 137,540.97 : x
  2. Step 2: Convert to fraction form
    238,142.97/328,667.63 = 137,540.97/x
  3. Step 3: Cross multiply
    238,142.97x = 328,667.63 × 137,540.97
  4. Step 4: Simplify right side
    238,142.97x = 45,205,263,950.10
  5. Step 5: Solve for x
    x = 45,205,263,950.10/238,142.97
  6. Step 6: Final answer
    x = 189,824.05

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