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Finding the Fourth Proportional to 73,054.80, 109,586.34 and 20,468.39

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Solution

The fourth proportional to 73,054.80, 109,586.34 and 20,468.39 is: 30,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,054.80 : 109,586.34 = 20,468.39 : x
  2. Step 2: Convert to fraction form
    73,054.80/109,586.34 = 20,468.39/x
  3. Step 3: Cross multiply
    73,054.80x = 109,586.34 × 20,468.39
  4. Step 4: Simplify right side
    73,054.80x = 2,243,055,397.86
  5. Step 5: Solve for x
    x = 2,243,055,397.86/73,054.80
  6. Step 6: Final answer
    x = 30,703.74

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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.