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Finding the Fourth Proportional to 65,611.70, 98,433.17 and 21,238.45

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Solution

The fourth proportional to 65,611.70, 98,433.17 and 21,238.45 is: 31,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,611.70 : 98,433.17 = 21,238.45 : x
  2. Step 2: Convert to fraction form
    65,611.70/98,433.17 = 21,238.45/x
  3. Step 3: Cross multiply
    65,611.70x = 98,433.17 × 21,238.45
  4. Step 4: Simplify right side
    65,611.70x = 2,090,567,766.40
  5. Step 5: Solve for x
    x = 2,090,567,766.40/65,611.70
  6. Step 6: Final answer
    x = 31,862.73

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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.