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Finding the Fourth Proportional to 100,509.88, 138,706.28 and 55,190.79

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Solution

The fourth proportional to 100,509.88, 138,706.28 and 55,190.79 is: 76,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.88 : 138,706.28 = 55,190.79 : x
  2. Step 2: Convert to fraction form
    100,509.88/138,706.28 = 55,190.79/x
  3. Step 3: Cross multiply
    100,509.88x = 138,706.28 × 55,190.79
  4. Step 4: Simplify right side
    100,509.88x = 7,655,309,171.16
  5. Step 5: Solve for x
    x = 7,655,309,171.16/100,509.88
  6. Step 6: Final answer
    x = 76,164.74

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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.