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Finding the Fourth Proportional to 52,201.60, 78,129.60 and 40,451.20

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Solution

The fourth proportional to 52,201.60, 78,129.60 and 40,451.20 is: 60,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.60 : 78,129.60 = 40,451.20 : x
  2. Step 2: Convert to fraction form
    52,201.60/78,129.60 = 40,451.20/x
  3. Step 3: Cross multiply
    52,201.60x = 78,129.60 × 40,451.20
  4. Step 4: Simplify right side
    52,201.60x = 3,160,436,075.52
  5. Step 5: Solve for x
    x = 3,160,436,075.52/52,201.60
  6. Step 6: Final answer
    x = 60,542.90

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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.