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Finding the Fourth Proportional to 109,027.86, 163,605.23 and 45,843.40

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Solution

The fourth proportional to 109,027.86, 163,605.23 and 45,843.40 is: 68,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,027.86 : 163,605.23 = 45,843.40 : x
  2. Step 2: Convert to fraction form
    109,027.86/163,605.23 = 45,843.40/x
  3. Step 3: Cross multiply
    109,027.86x = 163,605.23 × 45,843.40
  4. Step 4: Simplify right side
    109,027.86x = 7,500,220,000.98
  5. Step 5: Solve for x
    x = 7,500,220,000.98/109,027.86
  6. Step 6: Final answer
    x = 68,791.77

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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.