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Finding the Fourth Proportional to 230,975.60, 318,843.50 and 140,360.67

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Solution

The fourth proportional to 230,975.60, 318,843.50 and 140,360.67 is: 193,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,975.60 : 318,843.50 = 140,360.67 : x
  2. Step 2: Convert to fraction form
    230,975.60/318,843.50 = 140,360.67/x
  3. Step 3: Cross multiply
    230,975.60x = 318,843.50 × 140,360.67
  4. Step 4: Simplify right side
    230,975.60x = 44,753,087,285.15
  5. Step 5: Solve for x
    x = 44,753,087,285.15/230,975.60
  6. Step 6: Final answer
    x = 193,756.77

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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.