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Finding the Fourth Proportional to 169,209.88, 253,815.41 and 42,850.09

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Solution

The fourth proportional to 169,209.88, 253,815.41 and 42,850.09 is: 64,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,209.88 : 253,815.41 = 42,850.09 : x
  2. Step 2: Convert to fraction form
    169,209.88/253,815.41 = 42,850.09/x
  3. Step 3: Cross multiply
    169,209.88x = 253,815.41 × 42,850.09
  4. Step 4: Simplify right side
    169,209.88x = 10,876,013,161.89
  5. Step 5: Solve for x
    x = 10,876,013,161.89/169,209.88
  6. Step 6: Final answer
    x = 64,275.28

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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.