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Finding the Fourth Proportional to 159,164.41, 219,647 and 87,549.88

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Solution

The fourth proportional to 159,164.41, 219,647 and 87,549.88 is: 120,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,164.41 : 219,647 = 87,549.88 : x
  2. Step 2: Convert to fraction form
    159,164.41/219,647 = 87,549.88/x
  3. Step 3: Cross multiply
    159,164.41x = 219,647 × 87,549.88
  4. Step 4: Simplify right side
    159,164.41x = 19,230,068,492.36
  5. Step 5: Solve for x
    x = 19,230,068,492.36/159,164.41
  6. Step 6: Final answer
    x = 120,818.90

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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.