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Finding the Fourth Proportional to 142,067.66, 213,093.69 and 85,892.69

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Solution

The fourth proportional to 142,067.66, 213,093.69 and 85,892.69 is: 128,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,067.66 : 213,093.69 = 85,892.69 : x
  2. Step 2: Convert to fraction form
    142,067.66/213,093.69 = 85,892.69/x
  3. Step 3: Cross multiply
    142,067.66x = 213,093.69 × 85,892.69
  4. Step 4: Simplify right side
    142,067.66x = 18,303,189,190.66
  5. Step 5: Solve for x
    x = 18,303,189,190.66/142,067.66
  6. Step 6: Final answer
    x = 128,834.32

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1.5x scale

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.