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Finding the Fourth Proportional to 225,681.88, 311,367.78 and 133,808.44

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Solution

The fourth proportional to 225,681.88, 311,367.78 and 133,808.44 is: 184,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,681.88 : 311,367.78 = 133,808.44 : x
  2. Step 2: Convert to fraction form
    225,681.88/311,367.78 = 133,808.44/x
  3. Step 3: Cross multiply
    225,681.88x = 311,367.78 × 133,808.44
  4. Step 4: Simplify right side
    225,681.88x = 41,663,636,908.06
  5. Step 5: Solve for x
    x = 41,663,636,908.06/225,681.88
  6. Step 6: Final answer
    x = 184,612.24

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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.