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Finding the Fourth Proportional to 85,074, 127,669.44 and 29,670

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Solution

The fourth proportional to 85,074, 127,669.44 and 29,670 is: 44,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,074 : 127,669.44 = 29,670 : x
  2. Step 2: Convert to fraction form
    85,074/127,669.44 = 29,670/x
  3. Step 3: Cross multiply
    85,074x = 127,669.44 × 29,670
  4. Step 4: Simplify right side
    85,074x = 3,787,952,284.80
  5. Step 5: Solve for x
    x = 3,787,952,284.80/85,074
  6. Step 6: Final answer
    x = 44,525.38

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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.