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Finding the Fourth Proportional to 100,615.09, 138,849.49 and 55,296.81

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Solution

The fourth proportional to 100,615.09, 138,849.49 and 55,296.81 is: 76,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,615.09 : 138,849.49 = 55,296.81 : x
  2. Step 2: Convert to fraction form
    100,615.09/138,849.49 = 55,296.81/x
  3. Step 3: Cross multiply
    100,615.09x = 138,849.49 × 55,296.81
  4. Step 4: Simplify right side
    100,615.09x = 7,677,933,381.76
  5. Step 5: Solve for x
    x = 7,677,933,381.76/100,615.09
  6. Step 6: Final answer
    x = 76,309.96

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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.