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Finding the Fourth Proportional to 71,168.94, 106,749.74 and 21,249.45

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Solution

The fourth proportional to 71,168.94, 106,749.74 and 21,249.45 is: 31,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,168.94 : 106,749.74 = 21,249.45 : x
  2. Step 2: Convert to fraction form
    71,168.94/106,749.74 = 21,249.45/x
  3. Step 3: Cross multiply
    71,168.94x = 106,749.74 × 21,249.45
  4. Step 4: Simplify right side
    71,168.94x = 2,268,373,156.40
  5. Step 5: Solve for x
    x = 2,268,373,156.40/71,168.94
  6. Step 6: Final answer
    x = 31,873.08

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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.