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Finding the Fourth Proportional to 132,142.05, 182,356.16 and 71,712.71

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Solution

The fourth proportional to 132,142.05, 182,356.16 and 71,712.71 is: 98,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,142.05 : 182,356.16 = 71,712.71 : x
  2. Step 2: Convert to fraction form
    132,142.05/182,356.16 = 71,712.71/x
  3. Step 3: Cross multiply
    132,142.05x = 182,356.16 × 71,712.71
  4. Step 4: Simplify right side
    132,142.05x = 13,077,253,148.45
  5. Step 5: Solve for x
    x = 13,077,253,148.45/132,142.05
  6. Step 6: Final answer
    x = 98,963.60

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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.