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Finding the Fourth Proportional to 73,871.68, 101,942.76 and 40,337.68

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Solution

The fourth proportional to 73,871.68, 101,942.76 and 40,337.68 is: 55,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,871.68 : 101,942.76 = 40,337.68 : x
  2. Step 2: Convert to fraction form
    73,871.68/101,942.76 = 40,337.68/x
  3. Step 3: Cross multiply
    73,871.68x = 101,942.76 × 40,337.68
  4. Step 4: Simplify right side
    73,871.68x = 4,112,134,431.20
  5. Step 5: Solve for x
    x = 4,112,134,431.20/73,871.68
  6. Step 6: Final answer
    x = 55,665.91

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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.