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Finding the Fourth Proportional to 73,809.56, 110,715.24 and 21,219.50

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Solution

The fourth proportional to 73,809.56, 110,715.24 and 21,219.50 is: 31,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,809.56 : 110,715.24 = 21,219.50 : x
  2. Step 2: Convert to fraction form
    73,809.56/110,715.24 = 21,219.50/x
  3. Step 3: Cross multiply
    73,809.56x = 110,715.24 × 21,219.50
  4. Step 4: Simplify right side
    73,809.56x = 2,349,322,035.18
  5. Step 5: Solve for x
    x = 2,349,322,035.18/73,809.56
  6. Step 6: Final answer
    x = 31,829.51

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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.