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Finding the Fourth Proportional to 73,138.56, 109,723.98 and 23,221.50

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Solution

The fourth proportional to 73,138.56, 109,723.98 and 23,221.50 is: 34,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.56 : 109,723.98 = 23,221.50 : x
  2. Step 2: Convert to fraction form
    73,138.56/109,723.98 = 23,221.50/x
  3. Step 3: Cross multiply
    73,138.56x = 109,723.98 × 23,221.50
  4. Step 4: Simplify right side
    73,138.56x = 2,547,955,401.57
  5. Step 5: Solve for x
    x = 2,547,955,401.57/73,138.56
  6. Step 6: Final answer
    x = 34,837.37

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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.