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Finding the Fourth Proportional to 140,147.70, 210,221.55 and 136,867.20

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Solution

The fourth proportional to 140,147.70, 210,221.55 and 136,867.20 is: 205,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,147.70 : 210,221.55 = 136,867.20 : x
  2. Step 2: Convert to fraction form
    140,147.70/210,221.55 = 136,867.20/x
  3. Step 3: Cross multiply
    140,147.70x = 210,221.55 × 136,867.20
  4. Step 4: Simplify right side
    140,147.70x = 28,772,434,928.16
  5. Step 5: Solve for x
    x = 28,772,434,928.16/140,147.70
  6. Step 6: Final answer
    x = 205,300.80

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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.