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Finding the Fourth Proportional to 65,092.88, 97,640.94 and 18,344

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Solution

The fourth proportional to 65,092.88, 97,640.94 and 18,344 is: 27,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.88 : 97,640.94 = 18,344 : x
  2. Step 2: Convert to fraction form
    65,092.88/97,640.94 = 18,344/x
  3. Step 3: Cross multiply
    65,092.88x = 97,640.94 × 18,344
  4. Step 4: Simplify right side
    65,092.88x = 1,791,125,403.36
  5. Step 5: Solve for x
    x = 1,791,125,403.36/65,092.88
  6. Step 6: Final answer
    x = 27,516.46

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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.