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Finding the Fourth Proportional to 100,685.39, 138,946.32 and 55,366.29

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Solution

The fourth proportional to 100,685.39, 138,946.32 and 55,366.29 is: 76,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,685.39 : 138,946.32 = 55,366.29 : x
  2. Step 2: Convert to fraction form
    100,685.39/138,946.32 = 55,366.29/x
  3. Step 3: Cross multiply
    100,685.39x = 138,946.32 × 55,366.29
  4. Step 4: Simplify right side
    100,685.39x = 7,692,942,247.55
  5. Step 5: Solve for x
    x = 7,692,942,247.55/100,685.39
  6. Step 6: Final answer
    x = 76,405.75

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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.