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Finding the Fourth Proportional to 261,014.60, 391,230.30 and 111,229.40

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Solution

The fourth proportional to 261,014.60, 391,230.30 and 111,229.40 is: 166,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,014.60 : 391,230.30 = 111,229.40 : x
  2. Step 2: Convert to fraction form
    261,014.60/391,230.30 = 111,229.40/x
  3. Step 3: Cross multiply
    261,014.60x = 391,230.30 × 111,229.40
  4. Step 4: Simplify right side
    261,014.60x = 43,516,311,530.82
  5. Step 5: Solve for x
    x = 43,516,311,530.82/261,014.60
  6. Step 6: Final answer
    x = 166,719.84

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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.