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Finding the Fourth Proportional to 90,144, 124,404.48 and 50,400

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Solution

The fourth proportional to 90,144, 124,404.48 and 50,400 is: 69,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,144 : 124,404.48 = 50,400 : x
  2. Step 2: Convert to fraction form
    90,144/124,404.48 = 50,400/x
  3. Step 3: Cross multiply
    90,144x = 124,404.48 × 50,400
  4. Step 4: Simplify right side
    90,144x = 6,269,985,792
  5. Step 5: Solve for x
    x = 6,269,985,792/90,144
  6. Step 6: Final answer
    x = 69,555.22

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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.