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Finding the Fourth Proportional to 100,712.42, 138,986.64 and 55,393.84

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Solution

The fourth proportional to 100,712.42, 138,986.64 and 55,393.84 is: 76,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.42 : 138,986.64 = 55,393.84 : x
  2. Step 2: Convert to fraction form
    100,712.42/138,986.64 = 55,393.84/x
  3. Step 3: Cross multiply
    100,712.42x = 138,986.64 × 55,393.84
  4. Step 4: Simplify right side
    100,712.42x = 7,699,003,698.30
  5. Step 5: Solve for x
    x = 7,699,003,698.30/100,712.42
  6. Step 6: Final answer
    x = 76,445.42

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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.