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Finding the Fourth Proportional to 73,856, 101,921.64 and 40,322

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Solution

The fourth proportional to 73,856, 101,921.64 and 40,322 is: 55,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,856 : 101,921.64 = 40,322 : x
  2. Step 2: Convert to fraction form
    73,856/101,921.64 = 40,322/x
  3. Step 3: Cross multiply
    73,856x = 101,921.64 × 40,322
  4. Step 4: Simplify right side
    73,856x = 4,109,684,368.08
  5. Step 5: Solve for x
    x = 4,109,684,368.08/73,856
  6. Step 6: Final answer
    x = 55,644.56

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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.