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Finding the Fourth Proportional to 202,218.69, 279,063.29 and 111,578.02

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Solution

The fourth proportional to 202,218.69, 279,063.29 and 111,578.02 is: 153,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,218.69 : 279,063.29 = 111,578.02 : x
  2. Step 2: Convert to fraction form
    202,218.69/279,063.29 = 111,578.02/x
  3. Step 3: Cross multiply
    202,218.69x = 279,063.29 × 111,578.02
  4. Step 4: Simplify right side
    202,218.69x = 31,137,328,855.89
  5. Step 5: Solve for x
    x = 31,137,328,855.89/202,218.69
  6. Step 6: Final answer
    x = 153,978.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.