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Finding the Fourth Proportional to 65,453.89, 98,178.08 and 21,079.66

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Solution

The fourth proportional to 65,453.89, 98,178.08 and 21,079.66 is: 31,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,453.89 : 98,178.08 = 21,079.66 : x
  2. Step 2: Convert to fraction form
    65,453.89/98,178.08 = 21,079.66/x
  3. Step 3: Cross multiply
    65,453.89x = 98,178.08 × 21,079.66
  4. Step 4: Simplify right side
    65,453.89x = 2,069,560,545.85
  5. Step 5: Solve for x
    x = 2,069,560,545.85/65,453.89
  6. Step 6: Final answer
    x = 31,618.60

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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.