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Finding the Fourth Proportional to 235,685.12, 353,527.68 and 137,120

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Solution

The fourth proportional to 235,685.12, 353,527.68 and 137,120 is: 205,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,685.12 : 353,527.68 = 137,120 : x
  2. Step 2: Convert to fraction form
    235,685.12/353,527.68 = 137,120/x
  3. Step 3: Cross multiply
    235,685.12x = 353,527.68 × 137,120
  4. Step 4: Simplify right side
    235,685.12x = 48,475,715,481.60
  5. Step 5: Solve for x
    x = 48,475,715,481.60/235,685.12
  6. Step 6: Final answer
    x = 205,680

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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.