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Finding the Fourth Proportional to 85,101, 127,709.82 and 29,697

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Solution

The fourth proportional to 85,101, 127,709.82 and 29,697 is: 44,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,101 : 127,709.82 = 29,697 : x
  2. Step 2: Convert to fraction form
    85,101/127,709.82 = 29,697/x
  3. Step 3: Cross multiply
    85,101x = 127,709.82 × 29,697
  4. Step 4: Simplify right side
    85,101x = 3,792,598,524.54
  5. Step 5: Solve for x
    x = 3,792,598,524.54/85,101
  6. Step 6: Final answer
    x = 44,565.85

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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.