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Finding the Fourth Proportional to 65,808, 98,722.26 and 21,424.28

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Solution

The fourth proportional to 65,808, 98,722.26 and 21,424.28 is: 32,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808 : 98,722.26 = 21,424.28 : x
  2. Step 2: Convert to fraction form
    65,808/98,722.26 = 21,424.28/x
  3. Step 3: Cross multiply
    65,808x = 98,722.26 × 21,424.28
  4. Step 4: Simplify right side
    65,808x = 2,115,052,846.86
  5. Step 5: Solve for x
    x = 2,115,052,846.86/65,808
  6. Step 6: Final answer
    x = 32,139.75

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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.