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Finding the Fourth Proportional to 132,178.74, 198,299.31 and 43,432.50

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Solution

The fourth proportional to 132,178.74, 198,299.31 and 43,432.50 is: 65,159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,178.74 : 198,299.31 = 43,432.50 : x
  2. Step 2: Convert to fraction form
    132,178.74/198,299.31 = 43,432.50/x
  3. Step 3: Cross multiply
    132,178.74x = 198,299.31 × 43,432.50
  4. Step 4: Simplify right side
    132,178.74x = 8,612,634,781.58
  5. Step 5: Solve for x
    x = 8,612,634,781.58/132,178.74
  6. Step 6: Final answer
    x = 65,159.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.