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Finding the Fourth Proportional to 109,073.80, 163,610.70 and 106,449.40

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Solution

The fourth proportional to 109,073.80, 163,610.70 and 106,449.40 is: 159,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,073.80 : 163,610.70 = 106,449.40 : x
  2. Step 2: Convert to fraction form
    109,073.80/163,610.70 = 106,449.40/x
  3. Step 3: Cross multiply
    109,073.80x = 163,610.70 × 106,449.40
  4. Step 4: Simplify right side
    109,073.80x = 17,416,260,848.58
  5. Step 5: Solve for x
    x = 17,416,260,848.58/109,073.80
  6. Step 6: Final answer
    x = 159,674.10

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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.