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Finding the Fourth Proportional to 85,108.50, 127,721.08 and 29,704.50

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Solution

The fourth proportional to 85,108.50, 127,721.08 and 29,704.50 is: 44,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,108.50 : 127,721.08 = 29,704.50 : x
  2. Step 2: Convert to fraction form
    85,108.50/127,721.08 = 29,704.50/x
  3. Step 3: Cross multiply
    85,108.50x = 127,721.08 × 29,704.50
  4. Step 4: Simplify right side
    85,108.50x = 3,793,890,820.86
  5. Step 5: Solve for x
    x = 3,793,890,820.86/85,108.50
  6. Step 6: Final answer
    x = 44,577.11

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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.