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Finding the Fourth Proportional to 150,861.48, 208,165.68 and 87,187

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Solution

The fourth proportional to 150,861.48, 208,165.68 and 87,187 is: 120,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,861.48 : 208,165.68 = 87,187 : x
  2. Step 2: Convert to fraction form
    150,861.48/208,165.68 = 87,187/x
  3. Step 3: Cross multiply
    150,861.48x = 208,165.68 × 87,187
  4. Step 4: Simplify right side
    150,861.48x = 18,149,341,142.16
  5. Step 5: Solve for x
    x = 18,149,341,142.16/150,861.48
  6. Step 6: Final answer
    x = 120,304.67

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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.