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Finding the Fourth Proportional to 65,889, 98,822.38 and 18,493.22

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Solution

The fourth proportional to 65,889, 98,822.38 and 18,493.22 is: 27,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,889 : 98,822.38 = 18,493.22 : x
  2. Step 2: Convert to fraction form
    65,889/98,822.38 = 18,493.22/x
  3. Step 3: Cross multiply
    65,889x = 98,822.38 × 18,493.22
  4. Step 4: Simplify right side
    65,889x = 1,827,543,427.69
  5. Step 5: Solve for x
    x = 1,827,543,427.69/65,889
  6. Step 6: Final answer
    x = 27,736.70

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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.