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Finding the Fourth Proportional to 125,891.36, 189,023.16 and 84,032.24

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Solution

The fourth proportional to 125,891.36, 189,023.16 and 84,032.24 is: 126,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,891.36 : 189,023.16 = 84,032.24 : x
  2. Step 2: Convert to fraction form
    125,891.36/189,023.16 = 84,032.24/x
  3. Step 3: Cross multiply
    125,891.36x = 189,023.16 × 84,032.24
  4. Step 4: Simplify right side
    125,891.36x = 15,884,039,546.68
  5. Step 5: Solve for x
    x = 15,884,039,546.68/125,891.36
  6. Step 6: Final answer
    x = 126,172.59

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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.