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Finding the Fourth Proportional to 70,129.74, 105,169.91 and 20,196.48

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Solution

The fourth proportional to 70,129.74, 105,169.91 and 20,196.48 is: 30,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,129.74 : 105,169.91 = 20,196.48 : x
  2. Step 2: Convert to fraction form
    70,129.74/105,169.91 = 20,196.48/x
  3. Step 3: Cross multiply
    70,129.74x = 105,169.91 × 20,196.48
  4. Step 4: Simplify right side
    70,129.74x = 2,124,061,882.93
  5. Step 5: Solve for x
    x = 2,124,061,882.93/70,129.74
  6. Step 6: Final answer
    x = 30,287.61

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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.