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Finding the Fourth Proportional to 206,081.64, 308,597.58 and 100,624.50

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Solution

The fourth proportional to 206,081.64, 308,597.58 and 100,624.50 is: 150,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,081.64 : 308,597.58 = 100,624.50 : x
  2. Step 2: Convert to fraction form
    206,081.64/308,597.58 = 100,624.50/x
  3. Step 3: Cross multiply
    206,081.64x = 308,597.58 × 100,624.50
  4. Step 4: Simplify right side
    206,081.64x = 31,052,477,188.71
  5. Step 5: Solve for x
    x = 31,052,477,188.71/206,081.64
  6. Step 6: Final answer
    x = 150,680.46

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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.