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Finding the Fourth Proportional to 132,172.34, 182,398 and 71,743

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Solution

The fourth proportional to 132,172.34, 182,398 and 71,743 is: 99,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,172.34 : 182,398 = 71,743 : x
  2. Step 2: Convert to fraction form
    132,172.34/182,398 = 71,743/x
  3. Step 3: Cross multiply
    132,172.34x = 182,398 × 71,743
  4. Step 4: Simplify right side
    132,172.34x = 13,085,779,714
  5. Step 5: Solve for x
    x = 13,085,779,714/132,172.34
  6. Step 6: Final answer
    x = 99,005.43

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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.