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Finding the Fourth Proportional to 73,704, 101,711.43 and 40,170

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Solution

The fourth proportional to 73,704, 101,711.43 and 40,170 is: 55,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,704 : 101,711.43 = 40,170 : x
  2. Step 2: Convert to fraction form
    73,704/101,711.43 = 40,170/x
  3. Step 3: Cross multiply
    73,704x = 101,711.43 × 40,170
  4. Step 4: Simplify right side
    73,704x = 4,085,748,143.10
  5. Step 5: Solve for x
    x = 4,085,748,143.10/73,704
  6. Step 6: Final answer
    x = 55,434.55

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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.