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Finding the Fourth Proportional to 54,763, 75,571.24 and 30,889.32

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Solution

The fourth proportional to 54,763, 75,571.24 and 30,889.32 is: 42,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,763 : 75,571.24 = 30,889.32 : x
  2. Step 2: Convert to fraction form
    54,763/75,571.24 = 30,889.32/x
  3. Step 3: Cross multiply
    54,763x = 75,571.24 × 30,889.32
  4. Step 4: Simplify right side
    54,763x = 2,334,344,215.16
  5. Step 5: Solve for x
    x = 2,334,344,215.16/54,763
  6. Step 6: Final answer
    x = 42,626.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.