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Finding the Fourth Proportional to 52,651.20, 78,823.20 and 47,121.60

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Solution

The fourth proportional to 52,651.20, 78,823.20 and 47,121.60 is: 70,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,651.20 : 78,823.20 = 47,121.60 : x
  2. Step 2: Convert to fraction form
    52,651.20/78,823.20 = 47,121.60/x
  3. Step 3: Cross multiply
    52,651.20x = 78,823.20 × 47,121.60
  4. Step 4: Simplify right side
    52,651.20x = 3,714,275,301.12
  5. Step 5: Solve for x
    x = 3,714,275,301.12/52,651.20
  6. Step 6: Final answer
    x = 70,544.93

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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.