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Finding the Fourth Proportional to 85,080, 127,678.44 and 29,676

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Solution

The fourth proportional to 85,080, 127,678.44 and 29,676 is: 44,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,080 : 127,678.44 = 29,676 : x
  2. Step 2: Convert to fraction form
    85,080/127,678.44 = 29,676/x
  3. Step 3: Cross multiply
    85,080x = 127,678.44 × 29,676
  4. Step 4: Simplify right side
    85,080x = 3,788,985,385.44
  5. Step 5: Solve for x
    x = 3,788,985,385.44/85,080
  6. Step 6: Final answer
    x = 44,534.38

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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.