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Finding the Fourth Proportional to 167,703.34, 231,435.78 and 91,228

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Solution

The fourth proportional to 167,703.34, 231,435.78 and 91,228 is: 125,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,703.34 : 231,435.78 = 91,228 : x
  2. Step 2: Convert to fraction form
    167,703.34/231,435.78 = 91,228/x
  3. Step 3: Cross multiply
    167,703.34x = 231,435.78 × 91,228
  4. Step 4: Simplify right side
    167,703.34x = 21,113,423,337.84
  5. Step 5: Solve for x
    x = 21,113,423,337.84/167,703.34
  6. Step 6: Final answer
    x = 125,897.45

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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.