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Finding the Fourth Proportional to 50,381.52, 69,518.80 and 30,234

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Solution

The fourth proportional to 50,381.52, 69,518.80 and 30,234 is: 41,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,381.52 : 69,518.80 = 30,234 : x
  2. Step 2: Convert to fraction form
    50,381.52/69,518.80 = 30,234/x
  3. Step 3: Cross multiply
    50,381.52x = 69,518.80 × 30,234
  4. Step 4: Simplify right side
    50,381.52x = 2,101,831,399.20
  5. Step 5: Solve for x
    x = 2,101,831,399.20/50,381.52
  6. Step 6: Final answer
    x = 41,718.30

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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.