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Finding the Fourth Proportional to 99,443.71, 149,165.57 and 81,876.63

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Solution

The fourth proportional to 99,443.71, 149,165.57 and 81,876.63 is: 122,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,443.71 : 149,165.57 = 81,876.63 : x
  2. Step 2: Convert to fraction form
    99,443.71/149,165.57 = 81,876.63/x
  3. Step 3: Cross multiply
    99,443.71x = 149,165.57 × 81,876.63
  4. Step 4: Simplify right side
    99,443.71x = 12,213,174,183.63
  5. Step 5: Solve for x
    x = 12,213,174,183.63/99,443.71
  6. Step 6: Final answer
    x = 122,814.95

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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.