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Finding the Fourth Proportional to 73,203.18, 109,812.24 and 19,896

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Solution

The fourth proportional to 73,203.18, 109,812.24 and 19,896 is: 29,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,203.18 : 109,812.24 = 19,896 : x
  2. Step 2: Convert to fraction form
    73,203.18/109,812.24 = 19,896/x
  3. Step 3: Cross multiply
    73,203.18x = 109,812.24 × 19,896
  4. Step 4: Simplify right side
    73,203.18x = 2,184,824,327.04
  5. Step 5: Solve for x
    x = 2,184,824,327.04/73,203.18
  6. Step 6: Final answer
    x = 29,846.03

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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.