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Finding the Fourth Proportional to 79,493.76, 119,072.16 and 54,416.16

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Solution

The fourth proportional to 79,493.76, 119,072.16 and 54,416.16 is: 81,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,493.76 : 119,072.16 = 54,416.16 : x
  2. Step 2: Convert to fraction form
    79,493.76/119,072.16 = 54,416.16/x
  3. Step 3: Cross multiply
    79,493.76x = 119,072.16 × 54,416.16
  4. Step 4: Simplify right side
    79,493.76x = 6,479,449,710.11
  5. Step 5: Solve for x
    x = 6,479,449,710.11/79,493.76
  6. Step 6: Final answer
    x = 81,508.91

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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.