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Finding the Fourth Proportional to 100,712.43, 138,986.63 and 55,393.84

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Solution

The fourth proportional to 100,712.43, 138,986.63 and 55,393.84 is: 76,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.43 : 138,986.63 = 55,393.84 : x
  2. Step 2: Convert to fraction form
    100,712.43/138,986.63 = 55,393.84/x
  3. Step 3: Cross multiply
    100,712.43x = 138,986.63 × 55,393.84
  4. Step 4: Simplify right side
    100,712.43x = 7,699,003,144.36
  5. Step 5: Solve for x
    x = 7,699,003,144.36/100,712.43
  6. Step 6: Final answer
    x = 76,445.41

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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.