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Finding the Fourth Proportional to 51,405.60, 77,025.60 and 29,152.80

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Solution

The fourth proportional to 51,405.60, 77,025.60 and 29,152.80 is: 43,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405.60 : 77,025.60 = 29,152.80 : x
  2. Step 2: Convert to fraction form
    51,405.60/77,025.60 = 29,152.80/x
  3. Step 3: Cross multiply
    51,405.60x = 77,025.60 × 29,152.80
  4. Step 4: Simplify right side
    51,405.60x = 2,245,511,911.68
  5. Step 5: Solve for x
    x = 2,245,511,911.68/51,405.60
  6. Step 6: Final answer
    x = 43,682.24

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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.