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Finding the Fourth Proportional to 225,531, 311,232.78 and 136,107

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Solution

The fourth proportional to 225,531, 311,232.78 and 136,107 is: 187,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,531 : 311,232.78 = 136,107 : x
  2. Step 2: Convert to fraction form
    225,531/311,232.78 = 136,107/x
  3. Step 3: Cross multiply
    225,531x = 311,232.78 × 136,107
  4. Step 4: Simplify right side
    225,531x = 42,360,959,987.46
  5. Step 5: Solve for x
    x = 42,360,959,987.46/225,531
  6. Step 6: Final answer
    x = 187,827.66

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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.