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Finding the Fourth Proportional to 139,912.29, 209,909.30 and 45,140.36

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Solution

The fourth proportional to 139,912.29, 209,909.30 and 45,140.36 is: 67,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,912.29 : 209,909.30 = 45,140.36 : x
  2. Step 2: Convert to fraction form
    139,912.29/209,909.30 = 45,140.36/x
  3. Step 3: Cross multiply
    139,912.29x = 209,909.30 × 45,140.36
  4. Step 4: Simplify right side
    139,912.29x = 9,475,381,992.17
  5. Step 5: Solve for x
    x = 9,475,381,992.17/139,912.29
  6. Step 6: Final answer
    x = 67,723.73

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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.