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Finding the Fourth Proportional to 142,121.64, 213,165.48 and 110,563.20

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Solution

The fourth proportional to 142,121.64, 213,165.48 and 110,563.20 is: 165,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,121.64 : 213,165.48 = 110,563.20 : x
  2. Step 2: Convert to fraction form
    142,121.64/213,165.48 = 110,563.20/x
  3. Step 3: Cross multiply
    142,121.64x = 213,165.48 × 110,563.20
  4. Step 4: Simplify right side
    142,121.64x = 23,568,257,598.34
  5. Step 5: Solve for x
    x = 23,568,257,598.34/142,121.64
  6. Step 6: Final answer
    x = 165,831.59

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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.