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Finding the Fourth Proportional to 40,097.70, 60,129.66 and 12,021.78

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Solution

The fourth proportional to 40,097.70, 60,129.66 and 12,021.78 is: 18,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,097.70 : 60,129.66 = 12,021.78 : x
  2. Step 2: Convert to fraction form
    40,097.70/60,129.66 = 12,021.78/x
  3. Step 3: Cross multiply
    40,097.70x = 60,129.66 × 12,021.78
  4. Step 4: Simplify right side
    40,097.70x = 722,865,543.99
  5. Step 5: Solve for x
    x = 722,865,543.99/40,097.70
  6. Step 6: Final answer
    x = 18,027.61

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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.