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Finding the Fourth Proportional to 128,889.12, 193,351.68 and 40,149.12

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Solution

The fourth proportional to 128,889.12, 193,351.68 and 40,149.12 is: 60,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,889.12 : 193,351.68 = 40,149.12 : x
  2. Step 2: Convert to fraction form
    128,889.12/193,351.68 = 40,149.12/x
  3. Step 3: Cross multiply
    128,889.12x = 193,351.68 × 40,149.12
  4. Step 4: Simplify right side
    128,889.12x = 7,762,899,802.52
  5. Step 5: Solve for x
    x = 7,762,899,802.52/128,889.12
  6. Step 6: Final answer
    x = 60,229.29

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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.