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Finding the Fourth Proportional to 225,716.48, 338,730.52 and 77,972.48

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Solution

The fourth proportional to 225,716.48, 338,730.52 and 77,972.48 is: 117,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,716.48 : 338,730.52 = 77,972.48 : x
  2. Step 2: Convert to fraction form
    225,716.48/338,730.52 = 77,972.48/x
  3. Step 3: Cross multiply
    225,716.48x = 338,730.52 × 77,972.48
  4. Step 4: Simplify right side
    225,716.48x = 26,411,658,696.09
  5. Step 5: Solve for x
    x = 26,411,658,696.09/225,716.48
  6. Step 6: Final answer
    x = 117,012.54

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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.