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Finding the Fourth Proportional to 100,367.92, 138,507.73 and 55,655.92

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Solution

The fourth proportional to 100,367.92, 138,507.73 and 55,655.92 is: 76,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,367.92 : 138,507.73 = 55,655.92 : x
  2. Step 2: Convert to fraction form
    100,367.92/138,507.73 = 55,655.92/x
  3. Step 3: Cross multiply
    100,367.92x = 138,507.73 × 55,655.92
  4. Step 4: Simplify right side
    100,367.92x = 7,708,775,140.26
  5. Step 5: Solve for x
    x = 7,708,775,140.26/100,367.92
  6. Step 6: Final answer
    x = 76,805.17

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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.