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Finding the Fourth Proportional to 140,063.60, 210,063.36 and 40,223

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Solution

The fourth proportional to 140,063.60, 210,063.36 and 40,223 is: 60,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,063.60 : 210,063.36 = 40,223 : x
  2. Step 2: Convert to fraction form
    140,063.60/210,063.36 = 40,223/x
  3. Step 3: Cross multiply
    140,063.60x = 210,063.36 × 40,223
  4. Step 4: Simplify right side
    140,063.60x = 8,449,378,529.28
  5. Step 5: Solve for x
    x = 8,449,378,529.28/140,063.60
  6. Step 6: Final answer
    x = 60,325.30

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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.