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Finding the Fourth Proportional to 65,710.82, 98,564.81 and 18,324.65

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Solution

The fourth proportional to 65,710.82, 98,564.81 and 18,324.65 is: 27,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.82 : 98,564.81 = 18,324.65 : x
  2. Step 2: Convert to fraction form
    65,710.82/98,564.81 = 18,324.65/x
  3. Step 3: Cross multiply
    65,710.82x = 98,564.81 × 18,324.65
  4. Step 4: Simplify right side
    65,710.82x = 1,806,165,341.54
  5. Step 5: Solve for x
    x = 1,806,165,341.54/65,710.82
  6. Step 6: Final answer
    x = 27,486.58

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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.