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Finding the Fourth Proportional to 75,738.87, 113,608.31 and 20,334.87

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Solution

The fourth proportional to 75,738.87, 113,608.31 and 20,334.87 is: 30,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,738.87 : 113,608.31 = 20,334.87 : x
  2. Step 2: Convert to fraction form
    75,738.87/113,608.31 = 20,334.87/x
  3. Step 3: Cross multiply
    75,738.87x = 113,608.31 × 20,334.87
  4. Step 4: Simplify right side
    75,738.87x = 2,310,210,113.10
  5. Step 5: Solve for x
    x = 2,310,210,113.10/75,738.87
  6. Step 6: Final answer
    x = 30,502.31

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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.