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Finding the Fourth Proportional to 128,014.91, 192,041.38 and 41,431.80

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Solution

The fourth proportional to 128,014.91, 192,041.38 and 41,431.80 is: 62,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,014.91 : 192,041.38 = 41,431.80 : x
  2. Step 2: Convert to fraction form
    128,014.91/192,041.38 = 41,431.80/x
  3. Step 3: Cross multiply
    128,014.91x = 192,041.38 × 41,431.80
  4. Step 4: Simplify right side
    128,014.91x = 7,956,620,819.83
  5. Step 5: Solve for x
    x = 7,956,620,819.83/128,014.91
  6. Step 6: Final answer
    x = 62,153.86

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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.