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Finding the Fourth Proportional to 65,614.68, 98,437.64 and 21,241.44

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Solution

The fourth proportional to 65,614.68, 98,437.64 and 21,241.44 is: 31,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,614.68 : 98,437.64 = 21,241.44 : x
  2. Step 2: Convert to fraction form
    65,614.68/98,437.64 = 21,241.44/x
  3. Step 3: Cross multiply
    65,614.68x = 98,437.64 × 21,241.44
  4. Step 4: Simplify right side
    65,614.68x = 2,090,957,117.59
  5. Step 5: Solve for x
    x = 2,090,957,117.59/65,614.68
  6. Step 6: Final answer
    x = 31,867.22

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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.