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Finding the Fourth Proportional to 53,211.20, 79,816.80 and 47,220.80

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Solution

The fourth proportional to 53,211.20, 79,816.80 and 47,220.80 is: 70,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,211.20 : 79,816.80 = 47,220.80 : x
  2. Step 2: Convert to fraction form
    53,211.20/79,816.80 = 47,220.80/x
  3. Step 3: Cross multiply
    53,211.20x = 79,816.80 × 47,220.80
  4. Step 4: Simplify right side
    53,211.20x = 3,769,013,149.44
  5. Step 5: Solve for x
    x = 3,769,013,149.44/53,211.20
  6. Step 6: Final answer
    x = 70,831.20

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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.