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Finding the Fourth Proportional to 65,513.82, 98,270.40 and 18,766.68

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Solution

The fourth proportional to 65,513.82, 98,270.40 and 18,766.68 is: 28,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,513.82 : 98,270.40 = 18,766.68 : x
  2. Step 2: Convert to fraction form
    65,513.82/98,270.40 = 18,766.68/x
  3. Step 3: Cross multiply
    65,513.82x = 98,270.40 × 18,766.68
  4. Step 4: Simplify right side
    65,513.82x = 1,844,209,150.27
  5. Step 5: Solve for x
    x = 1,844,209,150.27/65,513.82
  6. Step 6: Final answer
    x = 28,149.93

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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.