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Finding the Fourth Proportional to 139,842.33, 209,793.87 and 51,095.70

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Solution

The fourth proportional to 139,842.33, 209,793.87 and 51,095.70 is: 76,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,842.33 : 209,793.87 = 51,095.70 : x
  2. Step 2: Convert to fraction form
    139,842.33/209,793.87 = 51,095.70/x
  3. Step 3: Cross multiply
    139,842.33x = 209,793.87 × 51,095.70
  4. Step 4: Simplify right side
    139,842.33x = 10,719,563,594.39
  5. Step 5: Solve for x
    x = 10,719,563,594.39/139,842.33
  6. Step 6: Final answer
    x = 76,654.64

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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.