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Finding the Fourth Proportional to 100,108.98, 138,148.54 and 54,786.04

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Solution

The fourth proportional to 100,108.98, 138,148.54 and 54,786.04 is: 75,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,108.98 : 138,148.54 = 54,786.04 : x
  2. Step 2: Convert to fraction form
    100,108.98/138,148.54 = 54,786.04/x
  3. Step 3: Cross multiply
    100,108.98x = 138,148.54 × 54,786.04
  4. Step 4: Simplify right side
    100,108.98x = 7,568,610,956.05
  5. Step 5: Solve for x
    x = 7,568,610,956.05/100,108.98
  6. Step 6: Final answer
    x = 75,603.72

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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.