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Finding the Fourth Proportional to 150,865.84, 208,198.20 and 87,206.32

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Solution

The fourth proportional to 150,865.84, 208,198.20 and 87,206.32 is: 120,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,865.84 : 208,198.20 = 87,206.32 : x
  2. Step 2: Convert to fraction form
    150,865.84/208,198.20 = 87,206.32/x
  3. Step 3: Cross multiply
    150,865.84x = 208,198.20 × 87,206.32
  4. Step 4: Simplify right side
    150,865.84x = 18,156,198,852.62
  5. Step 5: Solve for x
    x = 18,156,198,852.62/150,865.84
  6. Step 6: Final answer
    x = 120,346.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.