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Finding the Fourth Proportional to 73,154.54, 109,739.12 and 19,847.36

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Solution

The fourth proportional to 73,154.54, 109,739.12 and 19,847.36 is: 29,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,154.54 : 109,739.12 = 19,847.36 : x
  2. Step 2: Convert to fraction form
    73,154.54/109,739.12 = 19,847.36/x
  3. Step 3: Cross multiply
    73,154.54x = 109,739.12 × 19,847.36
  4. Step 4: Simplify right side
    73,154.54x = 2,178,031,378.55
  5. Step 5: Solve for x
    x = 2,178,031,378.55/73,154.54
  6. Step 6: Final answer
    x = 29,773.02

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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.