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Finding the Fourth Proportional to 272,102.40, 408,180.48 and 85,117.44

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Solution

The fourth proportional to 272,102.40, 408,180.48 and 85,117.44 is: 127,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,102.40 : 408,180.48 = 85,117.44 : x
  2. Step 2: Convert to fraction form
    272,102.40/408,180.48 = 85,117.44/x
  3. Step 3: Cross multiply
    272,102.40x = 408,180.48 × 85,117.44
  4. Step 4: Simplify right side
    272,102.40x = 34,743,277,515.57
  5. Step 5: Solve for x
    x = 34,743,277,515.57/272,102.40
  6. Step 6: Final answer
    x = 127,684.57

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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.