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Finding the Fourth Proportional to 100,435.87, 138,601.12 and 55,114.61

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Solution

The fourth proportional to 100,435.87, 138,601.12 and 55,114.61 is: 76,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,435.87 : 138,601.12 = 55,114.61 : x
  2. Step 2: Convert to fraction form
    100,435.87/138,601.12 = 55,114.61/x
  3. Step 3: Cross multiply
    100,435.87x = 138,601.12 × 55,114.61
  4. Step 4: Simplify right side
    100,435.87x = 7,638,946,674.36
  5. Step 5: Solve for x
    x = 7,638,946,674.36/100,435.87
  6. Step 6: Final answer
    x = 76,057.95

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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.