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Finding the Fourth Proportional to 139,560.16, 209,396.16 and 50,819.84

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Solution

The fourth proportional to 139,560.16, 209,396.16 and 50,819.84 is: 76,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,560.16 : 209,396.16 = 50,819.84 : x
  2. Step 2: Convert to fraction form
    139,560.16/209,396.16 = 50,819.84/x
  3. Step 3: Cross multiply
    139,560.16x = 209,396.16 × 50,819.84
  4. Step 4: Simplify right side
    139,560.16x = 10,641,479,347.81
  5. Step 5: Solve for x
    x = 10,641,479,347.81/139,560.16
  6. Step 6: Final answer
    x = 76,250.12

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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.