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Finding the Fourth Proportional to 162,906.30, 245,015.55 and 145,847.70

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Solution

The fourth proportional to 162,906.30, 245,015.55 and 145,847.70 is: 219,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,906.30 : 245,015.55 = 145,847.70 : x
  2. Step 2: Convert to fraction form
    162,906.30/245,015.55 = 145,847.70/x
  3. Step 3: Cross multiply
    162,906.30x = 245,015.55 × 145,847.70
  4. Step 4: Simplify right side
    162,906.30x = 35,734,954,431.74
  5. Step 5: Solve for x
    x = 35,734,954,431.74/162,906.30
  6. Step 6: Final answer
    x = 219,358.95

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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.