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Finding the Fourth Proportional to 142,993.11, 214,491.20 and 43,154.20

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Solution

The fourth proportional to 142,993.11, 214,491.20 and 43,154.20 is: 64,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,993.11 : 214,491.20 = 43,154.20 : x
  2. Step 2: Convert to fraction form
    142,993.11/214,491.20 = 43,154.20/x
  3. Step 3: Cross multiply
    142,993.11x = 214,491.20 × 43,154.20
  4. Step 4: Simplify right side
    142,993.11x = 9,256,196,143.04
  5. Step 5: Solve for x
    x = 9,256,196,143.04/142,993.11
  6. Step 6: Final answer
    x = 64,731.76

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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.