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Finding the Fourth Proportional to 73,856.81, 101,921.87 and 40,322.81

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Solution

The fourth proportional to 73,856.81, 101,921.87 and 40,322.81 is: 55,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,856.81 : 101,921.87 = 40,322.81 : x
  2. Step 2: Convert to fraction form
    73,856.81/101,921.87 = 40,322.81/x
  3. Step 3: Cross multiply
    73,856.81x = 101,921.87 × 40,322.81
  4. Step 4: Simplify right side
    73,856.81x = 4,109,775,487.63
  5. Step 5: Solve for x
    x = 4,109,775,487.63/73,856.81
  6. Step 6: Final answer
    x = 55,645.18

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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.