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Finding the Fourth Proportional to 100,220.85, 138,304.71 and 54,898.44

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Solution

The fourth proportional to 100,220.85, 138,304.71 and 54,898.44 is: 75,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,220.85 : 138,304.71 = 54,898.44 : x
  2. Step 2: Convert to fraction form
    100,220.85/138,304.71 = 54,898.44/x
  3. Step 3: Cross multiply
    100,220.85x = 138,304.71 × 54,898.44
  4. Step 4: Simplify right side
    100,220.85x = 7,592,712,823.65
  5. Step 5: Solve for x
    x = 7,592,712,823.65/100,220.85
  6. Step 6: Final answer
    x = 75,759.81

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1.5x scale

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.