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Finding the Fourth Proportional to 65,249.67, 97,886.81 and 20,864.51

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Solution

The fourth proportional to 65,249.67, 97,886.81 and 20,864.51 is: 31,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,249.67 : 97,886.81 = 20,864.51 : x
  2. Step 2: Convert to fraction form
    65,249.67/97,886.81 = 20,864.51/x
  3. Step 3: Cross multiply
    65,249.67x = 97,886.81 × 20,864.51
  4. Step 4: Simplify right side
    65,249.67x = 2,042,359,732.36
  5. Step 5: Solve for x
    x = 2,042,359,732.36/65,249.67
  6. Step 6: Final answer
    x = 31,300.69

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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.