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Finding the Fourth Proportional to 65,819.40, 98,729.10 and 65,163.30

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Solution

The fourth proportional to 65,819.40, 98,729.10 and 65,163.30 is: 97,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,819.40 : 98,729.10 = 65,163.30 : x
  2. Step 2: Convert to fraction form
    65,819.40/98,729.10 = 65,163.30/x
  3. Step 3: Cross multiply
    65,819.40x = 98,729.10 × 65,163.30
  4. Step 4: Simplify right side
    65,819.40x = 6,433,513,962.03
  5. Step 5: Solve for x
    x = 6,433,513,962.03/65,819.40
  6. Step 6: Final answer
    x = 97,744.95

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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.