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Finding the Fourth Proportional to 100,686.36, 138,944.16 and 55,364.16

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Solution

The fourth proportional to 100,686.36, 138,944.16 and 55,364.16 is: 76,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.36 : 138,944.16 = 55,364.16 : x
  2. Step 2: Convert to fraction form
    100,686.36/138,944.16 = 55,364.16/x
  3. Step 3: Cross multiply
    100,686.36x = 138,944.16 × 55,364.16
  4. Step 4: Simplify right side
    100,686.36x = 7,692,526,705.31
  5. Step 5: Solve for x
    x = 7,692,526,705.31/100,686.36
  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.