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Finding the Fourth Proportional to 68,275.29, 102,412.94 and 21,531.81

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Solution

The fourth proportional to 68,275.29, 102,412.94 and 21,531.81 is: 32,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275.29 : 102,412.94 = 21,531.81 : x
  2. Step 2: Convert to fraction form
    68,275.29/102,412.94 = 21,531.81/x
  3. Step 3: Cross multiply
    68,275.29x = 102,412.94 × 21,531.81
  4. Step 4: Simplify right side
    68,275.29x = 2,205,135,965.62
  5. Step 5: Solve for x
    x = 2,205,135,965.62/68,275.29
  6. Step 6: Final answer
    x = 32,297.72

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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.