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Finding the Fourth Proportional to 132,182.02, 182,328 and 78,428.88

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Solution

The fourth proportional to 132,182.02, 182,328 and 78,428.88 is: 108,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,182.02 : 182,328 = 78,428.88 : x
  2. Step 2: Convert to fraction form
    132,182.02/182,328 = 78,428.88/x
  3. Step 3: Cross multiply
    132,182.02x = 182,328 × 78,428.88
  4. Step 4: Simplify right side
    132,182.02x = 14,299,780,832.64
  5. Step 5: Solve for x
    x = 14,299,780,832.64/132,182.02
  6. Step 6: Final answer
    x = 108,182.50

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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.