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Finding the Fourth Proportional to 261,199.30, 391,946.58 and 111,425.44

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Solution

The fourth proportional to 261,199.30, 391,946.58 and 111,425.44 is: 167,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,199.30 : 391,946.58 = 111,425.44 : x
  2. Step 2: Convert to fraction form
    261,199.30/391,946.58 = 111,425.44/x
  3. Step 3: Cross multiply
    261,199.30x = 391,946.58 × 111,425.44
  4. Step 4: Simplify right side
    261,199.30x = 43,672,820,133.00
  5. Step 5: Solve for x
    x = 43,672,820,133.00/261,199.30
  6. Step 6: Final answer
    x = 167,201.14

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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.