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Finding the Fourth Proportional to 150,847.84, 208,157.88 and 87,189.76

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Solution

The fourth proportional to 150,847.84, 208,157.88 and 87,189.76 is: 120,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,847.84 : 208,157.88 = 87,189.76 : x
  2. Step 2: Convert to fraction form
    150,847.84/208,157.88 = 87,189.76/x
  3. Step 3: Cross multiply
    150,847.84x = 208,157.88 × 87,189.76
  4. Step 4: Simplify right side
    150,847.84x = 18,149,235,599.31
  5. Step 5: Solve for x
    x = 18,149,235,599.31/150,847.84
  6. Step 6: Final answer
    x = 120,314.85

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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.