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Finding the Fourth Proportional to 140,054.60, 210,049.86 and 40,214

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Solution

The fourth proportional to 140,054.60, 210,049.86 and 40,214 is: 60,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,054.60 : 210,049.86 = 40,214 : x
  2. Step 2: Convert to fraction form
    140,054.60/210,049.86 = 40,214/x
  3. Step 3: Cross multiply
    140,054.60x = 210,049.86 × 40,214
  4. Step 4: Simplify right side
    140,054.60x = 8,446,945,070.04
  5. Step 5: Solve for x
    x = 8,446,945,070.04/140,054.60
  6. Step 6: Final answer
    x = 60,311.80

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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.