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Finding the Fourth Proportional to 109,118.87, 163,718.27 and 45,954.89

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Solution

The fourth proportional to 109,118.87, 163,718.27 and 45,954.89 is: 68,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,118.87 : 163,718.27 = 45,954.89 : x
  2. Step 2: Convert to fraction form
    109,118.87/163,718.27 = 45,954.89/x
  3. Step 3: Cross multiply
    109,118.87x = 163,718.27 × 45,954.89
  4. Step 4: Simplify right side
    109,118.87x = 7,523,654,385.14
  5. Step 5: Solve for x
    x = 7,523,654,385.14/109,118.87
  6. Step 6: Final answer
    x = 68,949.16

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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.