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Finding the Fourth Proportional to 74,940, 103,417.26 and 41,406

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Solution

The fourth proportional to 74,940, 103,417.26 and 41,406 is: 57,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,940 : 103,417.26 = 41,406 : x
  2. Step 2: Convert to fraction form
    74,940/103,417.26 = 41,406/x
  3. Step 3: Cross multiply
    74,940x = 103,417.26 × 41,406
  4. Step 4: Simplify right side
    74,940x = 4,282,095,067.56
  5. Step 5: Solve for x
    x = 4,282,095,067.56/74,940
  6. Step 6: Final answer
    x = 57,140.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.