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Finding the Fourth Proportional to 74,507.87, 111,767.29 and 21,919.63

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Solution

The fourth proportional to 74,507.87, 111,767.29 and 21,919.63 is: 32,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,507.87 : 111,767.29 = 21,919.63 : x
  2. Step 2: Convert to fraction form
    74,507.87/111,767.29 = 21,919.63/x
  3. Step 3: Cross multiply
    74,507.87x = 111,767.29 × 21,919.63
  4. Step 4: Simplify right side
    74,507.87x = 2,449,897,642.90
  5. Step 5: Solve for x
    x = 2,449,897,642.90/74,507.87
  6. Step 6: Final answer
    x = 32,881.06

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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.