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Finding the Fourth Proportional to 100,652.44, 138,902.12 and 55,332.33

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Solution

The fourth proportional to 100,652.44, 138,902.12 and 55,332.33 is: 76,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,652.44 : 138,902.12 = 55,332.33 : x
  2. Step 2: Convert to fraction form
    100,652.44/138,902.12 = 55,332.33/x
  3. Step 3: Cross multiply
    100,652.44x = 138,902.12 × 55,332.33
  4. Step 4: Simplify right side
    100,652.44x = 7,685,778,079.87
  5. Step 5: Solve for x
    x = 7,685,778,079.87/100,652.44
  6. Step 6: Final answer
    x = 76,359.58

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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.