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Finding the Fourth Proportional to 85,217.32, 127,817.34 and 29,809

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Solution

The fourth proportional to 85,217.32, 127,817.34 and 29,809 is: 44,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,217.32 : 127,817.34 = 29,809 : x
  2. Step 2: Convert to fraction form
    85,217.32/127,817.34 = 29,809/x
  3. Step 3: Cross multiply
    85,217.32x = 127,817.34 × 29,809
  4. Step 4: Simplify right side
    85,217.32x = 3,810,107,088.06
  5. Step 5: Solve for x
    x = 3,810,107,088.06/85,217.32
  6. Step 6: Final answer
    x = 44,710.48

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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.