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Finding the Fourth Proportional to 52,809.86, 79,224.78 and 21,222.38

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Solution

The fourth proportional to 52,809.86, 79,224.78 and 21,222.38 is: 31,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.86 : 79,224.78 = 21,222.38 : x
  2. Step 2: Convert to fraction form
    52,809.86/79,224.78 = 21,222.38/x
  3. Step 3: Cross multiply
    52,809.86x = 79,224.78 × 21,222.38
  4. Step 4: Simplify right side
    52,809.86x = 1,681,338,386.58
  5. Step 5: Solve for x
    x = 1,681,338,386.58/52,809.86
  6. Step 6: Final answer
    x = 31,837.58

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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.