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Finding the Fourth Proportional to 65,433.92, 90,126.72 and 50,297.60

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Solution

The fourth proportional to 65,433.92, 90,126.72 and 50,297.60 is: 69,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,433.92 : 90,126.72 = 50,297.60 : x
  2. Step 2: Convert to fraction form
    65,433.92/90,126.72 = 50,297.60/x
  3. Step 3: Cross multiply
    65,433.92x = 90,126.72 × 50,297.60
  4. Step 4: Simplify right side
    65,433.92x = 4,533,157,711.87
  5. Step 5: Solve for x
    x = 4,533,157,711.87/65,433.92
  6. Step 6: Final answer
    x = 69,278.41

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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.