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Finding the Fourth Proportional to 139,806.80, 209,562.51 and 100,342.52

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Solution

The fourth proportional to 139,806.80, 209,562.51 and 100,342.52 is: 150,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,806.80 : 209,562.51 = 100,342.52 : x
  2. Step 2: Convert to fraction form
    139,806.80/209,562.51 = 100,342.52/x
  3. Step 3: Cross multiply
    139,806.80x = 209,562.51 × 100,342.52
  4. Step 4: Simplify right side
    139,806.80x = 21,028,030,350.93
  5. Step 5: Solve for x
    x = 21,028,030,350.93/139,806.80
  6. Step 6: Final answer
    x = 150,407.78

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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.