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Finding the Fourth Proportional to 132,020.40, 182,070 and 103,676.88

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Solution

The fourth proportional to 132,020.40, 182,070 and 103,676.88 is: 142,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,020.40 : 182,070 = 103,676.88 : x
  2. Step 2: Convert to fraction form
    132,020.40/182,070 = 103,676.88/x
  3. Step 3: Cross multiply
    132,020.40x = 182,070 × 103,676.88
  4. Step 4: Simplify right side
    132,020.40x = 18,876,449,541.60
  5. Step 5: Solve for x
    x = 18,876,449,541.60/132,020.40
  6. Step 6: Final answer
    x = 142,981.31

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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.