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Finding the Fourth Proportional to 100,414, 138,571.32 and 55,710.64

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Solution

The fourth proportional to 100,414, 138,571.32 and 55,710.64 is: 76,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414 : 138,571.32 = 55,710.64 : x
  2. Step 2: Convert to fraction form
    100,414/138,571.32 = 55,710.64/x
  3. Step 3: Cross multiply
    100,414x = 138,571.32 × 55,710.64
  4. Step 4: Simplify right side
    100,414x = 7,719,896,922.84
  5. Step 5: Solve for x
    x = 7,719,896,922.84/100,414
  6. Step 6: Final answer
    x = 76,880.68

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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.