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Finding the Fourth Proportional to 79,690.50, 109,972.26 and 47,447.24

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Solution

The fourth proportional to 79,690.50, 109,972.26 and 47,447.24 is: 65,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,690.50 : 109,972.26 = 47,447.24 : x
  2. Step 2: Convert to fraction form
    79,690.50/109,972.26 = 47,447.24/x
  3. Step 3: Cross multiply
    79,690.50x = 109,972.26 × 47,447.24
  4. Step 4: Simplify right side
    79,690.50x = 5,217,879,663.70
  5. Step 5: Solve for x
    x = 5,217,879,663.70/79,690.50
  6. Step 6: Final answer
    x = 65,476.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.