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Finding the Fourth Proportional to 85,102, 127,711.32 and 29,698

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Solution

The fourth proportional to 85,102, 127,711.32 and 29,698 is: 44,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,102 : 127,711.32 = 29,698 : x
  2. Step 2: Convert to fraction form
    85,102/127,711.32 = 29,698/x
  3. Step 3: Cross multiply
    85,102x = 127,711.32 × 29,698
  4. Step 4: Simplify right side
    85,102x = 3,792,770,781.36
  5. Step 5: Solve for x
    x = 3,792,770,781.36/85,102
  6. Step 6: Final answer
    x = 44,567.35

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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.