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Finding the Fourth Proportional to 132,398.70, 182,705.17 and 71,968.10

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Solution

The fourth proportional to 132,398.70, 182,705.17 and 71,968.10 is: 99,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,398.70 : 182,705.17 = 71,968.10 : x
  2. Step 2: Convert to fraction form
    132,398.70/182,705.17 = 71,968.10/x
  3. Step 3: Cross multiply
    132,398.70x = 182,705.17 × 71,968.10
  4. Step 4: Simplify right side
    132,398.70x = 13,148,942,986.57
  5. Step 5: Solve for x
    x = 13,148,942,986.57/132,398.70
  6. Step 6: Final answer
    x = 99,313.23

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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.