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Finding the Fourth Proportional to 154,856.80, 231,766.80 and 136,194.40

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Solution

The fourth proportional to 154,856.80, 231,766.80 and 136,194.40 is: 203,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,856.80 : 231,766.80 = 136,194.40 : x
  2. Step 2: Convert to fraction form
    154,856.80/231,766.80 = 136,194.40/x
  3. Step 3: Cross multiply
    154,856.80x = 231,766.80 × 136,194.40
  4. Step 4: Simplify right side
    154,856.80x = 31,565,340,265.92
  5. Step 5: Solve for x
    x = 31,565,340,265.92/154,856.80
  6. Step 6: Final answer
    x = 203,835.67

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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.