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Finding the Fourth Proportional to 56,302, 84,453 and 21,233.46

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Solution

The fourth proportional to 56,302, 84,453 and 21,233.46 is: 31,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302 : 84,453 = 21,233.46 : x
  2. Step 2: Convert to fraction form
    56,302/84,453 = 21,233.46/x
  3. Step 3: Cross multiply
    56,302x = 84,453 × 21,233.46
  4. Step 4: Simplify right side
    56,302x = 1,793,229,397.38
  5. Step 5: Solve for x
    x = 1,793,229,397.38/56,302
  6. Step 6: Final answer
    x = 31,850.19

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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.