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Finding the Fourth Proportional to 65,728.20, 98,640.90 and 43,534.20

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Solution

The fourth proportional to 65,728.20, 98,640.90 and 43,534.20 is: 65,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728.20 : 98,640.90 = 43,534.20 : x
  2. Step 2: Convert to fraction form
    65,728.20/98,640.90 = 43,534.20/x
  3. Step 3: Cross multiply
    65,728.20x = 98,640.90 × 43,534.20
  4. Step 4: Simplify right side
    65,728.20x = 4,294,252,668.78
  5. Step 5: Solve for x
    x = 4,294,252,668.78/65,728.20
  6. Step 6: Final answer
    x = 65,333.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.