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Finding the Fourth Proportional to 75,846.60, 113,769.90 and 20,442.60

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Solution

The fourth proportional to 75,846.60, 113,769.90 and 20,442.60 is: 30,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.60 : 113,769.90 = 20,442.60 : x
  2. Step 2: Convert to fraction form
    75,846.60/113,769.90 = 20,442.60/x
  3. Step 3: Cross multiply
    75,846.60x = 113,769.90 × 20,442.60
  4. Step 4: Simplify right side
    75,846.60x = 2,325,752,557.74
  5. Step 5: Solve for x
    x = 2,325,752,557.74/75,846.60
  6. Step 6: Final answer
    x = 30,663.90

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1.5x scale

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.