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Finding the Fourth Proportional to 209,297.88, 313,946.80 and 61,553.88

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Solution

The fourth proportional to 209,297.88, 313,946.80 and 61,553.88 is: 92,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,297.88 : 313,946.80 = 61,553.88 : x
  2. Step 2: Convert to fraction form
    209,297.88/313,946.80 = 61,553.88/x
  3. Step 3: Cross multiply
    209,297.88x = 313,946.80 × 61,553.88
  4. Step 4: Simplify right side
    209,297.88x = 19,324,643,653.58
  5. Step 5: Solve for x
    x = 19,324,643,653.58/209,297.88
  6. Step 6: Final answer
    x = 92,330.81

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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.