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Finding the Fourth Proportional to 108,029.80, 162,044.70 and 81,785.80

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Solution

The fourth proportional to 108,029.80, 162,044.70 and 81,785.80 is: 122,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,029.80 : 162,044.70 = 81,785.80 : x
  2. Step 2: Convert to fraction form
    108,029.80/162,044.70 = 81,785.80/x
  3. Step 3: Cross multiply
    108,029.80x = 162,044.70 × 81,785.80
  4. Step 4: Simplify right side
    108,029.80x = 13,252,955,425.26
  5. Step 5: Solve for x
    x = 13,252,955,425.26/108,029.80
  6. Step 6: Final answer
    x = 122,678.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.