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Finding the Fourth Proportional to 65,489.28, 90,409.30 and 50,921.16

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Solution

The fourth proportional to 65,489.28, 90,409.30 and 50,921.16 is: 70,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,489.28 : 90,409.30 = 50,921.16 : x
  2. Step 2: Convert to fraction form
    65,489.28/90,409.30 = 50,921.16/x
  3. Step 3: Cross multiply
    65,489.28x = 90,409.30 × 50,921.16
  4. Step 4: Simplify right side
    65,489.28x = 4,603,746,430.79
  5. Step 5: Solve for x
    x = 4,603,746,430.79/65,489.28
  6. Step 6: Final answer
    x = 70,297.71

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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.