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Finding the Fourth Proportional to 150,965.76, 208,370.34 and 87,294.36

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Solution

The fourth proportional to 150,965.76, 208,370.34 and 87,294.36 is: 120,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,965.76 : 208,370.34 = 87,294.36 : x
  2. Step 2: Convert to fraction form
    150,965.76/208,370.34 = 87,294.36/x
  3. Step 3: Cross multiply
    150,965.76x = 208,370.34 × 87,294.36
  4. Step 4: Simplify right side
    150,965.76x = 18,189,555,473.28
  5. Step 5: Solve for x
    x = 18,189,555,473.28/150,965.76
  6. Step 6: Final answer
    x = 120,487.95

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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.