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Finding the Fourth Proportional to 272,532.50, 408,802.39 and 85,544

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Solution

The fourth proportional to 272,532.50, 408,802.39 and 85,544 is: 128,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,532.50 : 408,802.39 = 85,544 : x
  2. Step 2: Convert to fraction form
    272,532.50/408,802.39 = 85,544/x
  3. Step 3: Cross multiply
    272,532.50x = 408,802.39 × 85,544
  4. Step 4: Simplify right side
    272,532.50x = 34,970,591,650.16
  5. Step 5: Solve for x
    x = 34,970,591,650.16/272,532.50
  6. Step 6: Final answer
    x = 128,317.14

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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.