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Finding the Fourth Proportional to 140,027.32, 209,977.80 and 40,164.60

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Solution

The fourth proportional to 140,027.32, 209,977.80 and 40,164.60 is: 60,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,027.32 : 209,977.80 = 40,164.60 : x
  2. Step 2: Convert to fraction form
    140,027.32/209,977.80 = 40,164.60/x
  3. Step 3: Cross multiply
    140,027.32x = 209,977.80 × 40,164.60
  4. Step 4: Simplify right side
    140,027.32x = 8,433,674,345.88
  5. Step 5: Solve for x
    x = 8,433,674,345.88/140,027.32
  6. Step 6: Final answer
    x = 60,228.78

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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.