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Finding the Fourth Proportional to 65,399.70, 98,157.86 and 30,359.10

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Solution

The fourth proportional to 65,399.70, 98,157.86 and 30,359.10 is: 45,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,399.70 : 98,157.86 = 30,359.10 : x
  2. Step 2: Convert to fraction form
    65,399.70/98,157.86 = 30,359.10/x
  3. Step 3: Cross multiply
    65,399.70x = 98,157.86 × 30,359.10
  4. Step 4: Simplify right side
    65,399.70x = 2,979,984,287.53
  5. Step 5: Solve for x
    x = 2,979,984,287.53/65,399.70
  6. Step 6: Final answer
    x = 45,565.72

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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.