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Finding the Fourth Proportional to 261,197.30, 391,943.58 and 111,423.44

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Solution

The fourth proportional to 261,197.30, 391,943.58 and 111,423.44 is: 167,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,197.30 : 391,943.58 = 111,423.44 : x
  2. Step 2: Convert to fraction form
    261,197.30/391,943.58 = 111,423.44/x
  3. Step 3: Cross multiply
    261,197.30x = 391,943.58 × 111,423.44
  4. Step 4: Simplify right side
    261,197.30x = 43,671,701,969.52
  5. Step 5: Solve for x
    x = 43,671,701,969.52/261,197.30
  6. Step 6: Final answer
    x = 167,198.14

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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.