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Finding the Fourth Proportional to 125,409.78, 188,114.15 and 45,429.03

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Solution

The fourth proportional to 125,409.78, 188,114.15 and 45,429.03 is: 68,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,409.78 : 188,114.15 = 45,429.03 : x
  2. Step 2: Convert to fraction form
    125,409.78/188,114.15 = 45,429.03/x
  3. Step 3: Cross multiply
    125,409.78x = 188,114.15 × 45,429.03
  4. Step 4: Simplify right side
    125,409.78x = 8,545,843,363.77
  5. Step 5: Solve for x
    x = 8,545,843,363.77/125,409.78
  6. Step 6: Final answer
    x = 68,143.36

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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.