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Finding the Fourth Proportional to 100,470.96, 138,649.28 and 55,147.77

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Solution

The fourth proportional to 100,470.96, 138,649.28 and 55,147.77 is: 76,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.96 : 138,649.28 = 55,147.77 : x
  2. Step 2: Convert to fraction form
    100,470.96/138,649.28 = 55,147.77/x
  3. Step 3: Cross multiply
    100,470.96x = 138,649.28 × 55,147.77
  4. Step 4: Simplify right side
    100,470.96x = 7,646,198,328.37
  5. Step 5: Solve for x
    x = 7,646,198,328.37/100,470.96
  6. Step 6: Final answer
    x = 76,103.57

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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.