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Finding the Fourth Proportional to 100,686.70, 138,944.09 and 55,364.37

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Solution

The fourth proportional to 100,686.70, 138,944.09 and 55,364.37 is: 76,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.70 : 138,944.09 = 55,364.37 : x
  2. Step 2: Convert to fraction form
    100,686.70/138,944.09 = 55,364.37/x
  3. Step 3: Cross multiply
    100,686.70x = 138,944.09 × 55,364.37
  4. Step 4: Simplify right side
    100,686.70x = 7,692,552,008.07
  5. Step 5: Solve for x
    x = 7,692,552,008.07/100,686.70
  6. Step 6: Final answer
    x = 76,400.88

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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.