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Finding the Fourth Proportional to 140,400.80, 210,601.20 and 138,096.80

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Solution

The fourth proportional to 140,400.80, 210,601.20 and 138,096.80 is: 207,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,400.80 : 210,601.20 = 138,096.80 : x
  2. Step 2: Convert to fraction form
    140,400.80/210,601.20 = 138,096.80/x
  3. Step 3: Cross multiply
    140,400.80x = 210,601.20 × 138,096.80
  4. Step 4: Simplify right side
    140,400.80x = 29,083,351,796.16
  5. Step 5: Solve for x
    x = 29,083,351,796.16/140,400.80
  6. Step 6: Final answer
    x = 207,145.20

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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.