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Finding the Fourth Proportional to 100,683.11, 138,946.26 and 55,364.54

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Solution

The fourth proportional to 100,683.11, 138,946.26 and 55,364.54 is: 76,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.11 : 138,946.26 = 55,364.54 : x
  2. Step 2: Convert to fraction form
    100,683.11/138,946.26 = 55,364.54/x
  3. Step 3: Cross multiply
    100,683.11x = 138,946.26 × 55,364.54
  4. Step 4: Simplify right side
    100,683.11x = 7,692,695,769.62
  5. Step 5: Solve for x
    x = 7,692,695,769.62/100,683.11
  6. Step 6: Final answer
    x = 76,405.03

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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.