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Finding the Fourth Proportional to 139,778.59, 209,646.39 and 76,630

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Solution

The fourth proportional to 139,778.59, 209,646.39 and 76,630 is: 114,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,778.59 : 209,646.39 = 76,630 : x
  2. Step 2: Convert to fraction form
    139,778.59/209,646.39 = 76,630/x
  3. Step 3: Cross multiply
    139,778.59x = 209,646.39 × 76,630
  4. Step 4: Simplify right side
    139,778.59x = 16,065,202,865.70
  5. Step 5: Solve for x
    x = 16,065,202,865.70/139,778.59
  6. Step 6: Final answer
    x = 114,933.22

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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.