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Finding the Fourth Proportional to 52,811.80, 79,217.70 and 47,627.80

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Solution

The fourth proportional to 52,811.80, 79,217.70 and 47,627.80 is: 71,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,811.80 : 79,217.70 = 47,627.80 : x
  2. Step 2: Convert to fraction form
    52,811.80/79,217.70 = 47,627.80/x
  3. Step 3: Cross multiply
    52,811.80x = 79,217.70 × 47,627.80
  4. Step 4: Simplify right side
    52,811.80x = 3,772,964,772.06
  5. Step 5: Solve for x
    x = 3,772,964,772.06/52,811.80
  6. Step 6: Final answer
    x = 71,441.70

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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.