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Finding the Fourth Proportional to 117,321.87, 176,035.12 and 54,108

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Solution

The fourth proportional to 117,321.87, 176,035.12 and 54,108 is: 81,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,321.87 : 176,035.12 = 54,108 : x
  2. Step 2: Convert to fraction form
    117,321.87/176,035.12 = 54,108/x
  3. Step 3: Cross multiply
    117,321.87x = 176,035.12 × 54,108
  4. Step 4: Simplify right side
    117,321.87x = 9,524,908,442.05
  5. Step 5: Solve for x
    x = 9,524,908,442.05/117,321.87
  6. Step 6: Final answer
    x = 81,186.13

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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.