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Finding the Fourth Proportional to 73,909.30, 101,994.94 and 42,078.20

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Solution

The fourth proportional to 73,909.30, 101,994.94 and 42,078.20 is: 58,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,909.30 : 101,994.94 = 42,078.20 : x
  2. Step 2: Convert to fraction form
    73,909.30/101,994.94 = 42,078.20/x
  3. Step 3: Cross multiply
    73,909.30x = 101,994.94 × 42,078.20
  4. Step 4: Simplify right side
    73,909.30x = 4,291,763,363.96
  5. Step 5: Solve for x
    x = 4,291,763,363.96/73,909.30
  6. Step 6: Final answer
    x = 58,067.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.