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Finding the Fourth Proportional to 139,478.95, 209,206.53 and 55,216.21

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Solution

The fourth proportional to 139,478.95, 209,206.53 and 55,216.21 is: 82,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,478.95 : 209,206.53 = 55,216.21 : x
  2. Step 2: Convert to fraction form
    139,478.95/209,206.53 = 55,216.21/x
  3. Step 3: Cross multiply
    139,478.95x = 209,206.53 × 55,216.21
  4. Step 4: Simplify right side
    139,478.95x = 11,551,591,693.85
  5. Step 5: Solve for x
    x = 11,551,591,693.85/139,478.95
  6. Step 6: Final answer
    x = 82,819.61

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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.