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Finding the Fourth Proportional to 85,089, 127,691.82 and 29,685

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Solution

The fourth proportional to 85,089, 127,691.82 and 29,685 is: 44,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,089 : 127,691.82 = 29,685 : x
  2. Step 2: Convert to fraction form
    85,089/127,691.82 = 29,685/x
  3. Step 3: Cross multiply
    85,089x = 127,691.82 × 29,685
  4. Step 4: Simplify right side
    85,089x = 3,790,531,676.70
  5. Step 5: Solve for x
    x = 3,790,531,676.70/85,089
  6. Step 6: Final answer
    x = 44,547.85

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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.