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Finding the Fourth Proportional to 79,842.50, 119,763.26 and 20,678.02

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Solution

The fourth proportional to 79,842.50, 119,763.26 and 20,678.02 is: 31,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,842.50 : 119,763.26 = 20,678.02 : x
  2. Step 2: Convert to fraction form
    79,842.50/119,763.26 = 20,678.02/x
  3. Step 3: Cross multiply
    79,842.50x = 119,763.26 × 20,678.02
  4. Step 4: Simplify right side
    79,842.50x = 2,476,467,085.55
  5. Step 5: Solve for x
    x = 2,476,467,085.55/79,842.50
  6. Step 6: Final answer
    x = 31,016.90

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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.