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Finding the Fourth Proportional to 132,140.65, 182,354.22 and 71,711.30

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Solution

The fourth proportional to 132,140.65, 182,354.22 and 71,711.30 is: 98,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,140.65 : 182,354.22 = 71,711.30 : x
  2. Step 2: Convert to fraction form
    132,140.65/182,354.22 = 71,711.30/x
  3. Step 3: Cross multiply
    132,140.65x = 182,354.22 × 71,711.30
  4. Step 4: Simplify right side
    132,140.65x = 13,076,858,363.65
  5. Step 5: Solve for x
    x = 13,076,858,363.65/132,140.65
  6. Step 6: Final answer
    x = 98,961.66

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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.