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Finding the Fourth Proportional to 125,410.31, 188,248.49 and 111,077.66

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Solution

The fourth proportional to 125,410.31, 188,248.49 and 111,077.66 is: 166,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,410.31 : 188,248.49 = 111,077.66 : x
  2. Step 2: Convert to fraction form
    125,410.31/188,248.49 = 111,077.66/x
  3. Step 3: Cross multiply
    125,410.31x = 188,248.49 × 111,077.66
  4. Step 4: Simplify right side
    125,410.31x = 20,910,200,271.10
  5. Step 5: Solve for x
    x = 20,910,200,271.10/125,410.31
  6. Step 6: Final answer
    x = 166,734.31

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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.