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Finding the Fourth Proportional to 100,212, 138,290.04 and 54,890.04

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Solution

The fourth proportional to 100,212, 138,290.04 and 54,890.04 is: 75,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212 : 138,290.04 = 54,890.04 : x
  2. Step 2: Convert to fraction form
    100,212/138,290.04 = 54,890.04/x
  3. Step 3: Cross multiply
    100,212x = 138,290.04 × 54,890.04
  4. Step 4: Simplify right side
    100,212x = 7,590,745,827.20
  5. Step 5: Solve for x
    x = 7,590,745,827.20/100,212
  6. Step 6: Final answer
    x = 75,746.87

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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.