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Finding the Fourth Proportional to 125,458.48, 188,138.62 and 45,477.46

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Solution

The fourth proportional to 125,458.48, 188,138.62 and 45,477.46 is: 68,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,458.48 : 188,138.62 = 45,477.46 : x
  2. Step 2: Convert to fraction form
    125,458.48/188,138.62 = 45,477.46/x
  3. Step 3: Cross multiply
    125,458.48x = 188,138.62 × 45,477.46
  4. Step 4: Simplify right side
    125,458.48x = 8,556,066,565.51
  5. Step 5: Solve for x
    x = 8,556,066,565.51/125,458.48
  6. Step 6: Final answer
    x = 68,198.39

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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.