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Finding the Fourth Proportional to 100,106.98, 138,145.78 and 54,784.04

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Solution

The fourth proportional to 100,106.98, 138,145.78 and 54,784.04 is: 75,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106.98 : 138,145.78 = 54,784.04 : x
  2. Step 2: Convert to fraction form
    100,106.98/138,145.78 = 54,784.04/x
  3. Step 3: Cross multiply
    100,106.98x = 138,145.78 × 54,784.04
  4. Step 4: Simplify right side
    100,106.98x = 7,568,184,145.76
  5. Step 5: Solve for x
    x = 7,568,184,145.76/100,106.98
  6. Step 6: Final answer
    x = 75,600.97

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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.