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Finding the Fourth Proportional to 142,076.40, 213,287.40 and 106,738.80

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Solution

The fourth proportional to 142,076.40, 213,287.40 and 106,738.80 is: 160,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,076.40 : 213,287.40 = 106,738.80 : x
  2. Step 2: Convert to fraction form
    142,076.40/213,287.40 = 106,738.80/x
  3. Step 3: Cross multiply
    142,076.40x = 213,287.40 × 106,738.80
  4. Step 4: Simplify right side
    142,076.40x = 22,766,041,131.12
  5. Step 5: Solve for x
    x = 22,766,041,131.12/142,076.40
  6. Step 6: Final answer
    x = 160,238.02

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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.