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Finding the Fourth Proportional to 89,649.56, 134,519.70 and 36,354

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Solution

The fourth proportional to 89,649.56, 134,519.70 and 36,354 is: 54,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,649.56 : 134,519.70 = 36,354 : x
  2. Step 2: Convert to fraction form
    89,649.56/134,519.70 = 36,354/x
  3. Step 3: Cross multiply
    89,649.56x = 134,519.70 × 36,354
  4. Step 4: Simplify right side
    89,649.56x = 4,890,329,173.80
  5. Step 5: Solve for x
    x = 4,890,329,173.80/89,649.56
  6. Step 6: Final answer
    x = 54,549.39

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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.