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Finding the Fourth Proportional to 100,696.64, 138,964.88 and 55,378.08

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Solution

The fourth proportional to 100,696.64, 138,964.88 and 55,378.08 is: 76,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,696.64 : 138,964.88 = 55,378.08 : x
  2. Step 2: Convert to fraction form
    100,696.64/138,964.88 = 55,378.08/x
  3. Step 3: Cross multiply
    100,696.64x = 138,964.88 × 55,378.08
  4. Step 4: Simplify right side
    100,696.64x = 7,695,608,241.83
  5. Step 5: Solve for x
    x = 7,695,608,241.83/100,696.64
  6. Step 6: Final answer
    x = 76,423.68

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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.