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Finding the Fourth Proportional to 109,898.70, 164,848.05 and 100,275.90

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Solution

The fourth proportional to 109,898.70, 164,848.05 and 100,275.90 is: 150,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.70 : 164,848.05 = 100,275.90 : x
  2. Step 2: Convert to fraction form
    109,898.70/164,848.05 = 100,275.90/x
  3. Step 3: Cross multiply
    109,898.70x = 164,848.05 × 100,275.90
  4. Step 4: Simplify right side
    109,898.70x = 16,530,286,577.00
  5. Step 5: Solve for x
    x = 16,530,286,577.00/109,898.70
  6. Step 6: Final answer
    x = 150,413.85

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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.