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Finding the Fourth Proportional to 261,203.30, 391,952.58 and 111,429.44

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Solution

The fourth proportional to 261,203.30, 391,952.58 and 111,429.44 is: 167,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,203.30 : 391,952.58 = 111,429.44 : x
  2. Step 2: Convert to fraction form
    261,203.30/391,952.58 = 111,429.44/x
  3. Step 3: Cross multiply
    261,203.30x = 391,952.58 × 111,429.44
  4. Step 4: Simplify right side
    261,203.30x = 43,675,056,495.96
  5. Step 5: Solve for x
    x = 43,675,056,495.96/261,203.30
  6. Step 6: Final answer
    x = 167,207.14

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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.