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Finding the Fourth Proportional to 53,286, 79,951.68 and 20,001.21

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Solution

The fourth proportional to 53,286, 79,951.68 and 20,001.21 is: 30,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,286 : 79,951.68 = 20,001.21 : x
  2. Step 2: Convert to fraction form
    53,286/79,951.68 = 20,001.21/x
  3. Step 3: Cross multiply
    53,286x = 79,951.68 × 20,001.21
  4. Step 4: Simplify right side
    53,286x = 1,599,130,341.53
  5. Step 5: Solve for x
    x = 1,599,130,341.53/53,286
  6. Step 6: Final answer
    x = 30,010.33

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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.