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Finding the Fourth Proportional to 109,165.86, 163,713.96 and 42,589.80

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Solution

The fourth proportional to 109,165.86, 163,713.96 and 42,589.80 is: 63,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,165.86 : 163,713.96 = 42,589.80 : x
  2. Step 2: Convert to fraction form
    109,165.86/163,713.96 = 42,589.80/x
  3. Step 3: Cross multiply
    109,165.86x = 163,713.96 × 42,589.80
  4. Step 4: Simplify right side
    109,165.86x = 6,972,544,813.61
  5. Step 5: Solve for x
    x = 6,972,544,813.61/109,165.86
  6. Step 6: Final answer
    x = 63,871.11

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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.