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Finding the Fourth Proportional to 100,300.56, 138,408.39 and 54,970.53

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Solution

The fourth proportional to 100,300.56, 138,408.39 and 54,970.53 is: 75,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,300.56 : 138,408.39 = 54,970.53 : x
  2. Step 2: Convert to fraction form
    100,300.56/138,408.39 = 54,970.53/x
  3. Step 3: Cross multiply
    100,300.56x = 138,408.39 × 54,970.53
  4. Step 4: Simplify right side
    100,300.56x = 7,608,382,554.75
  5. Step 5: Solve for x
    x = 7,608,382,554.75/100,300.56
  6. Step 6: Final answer
    x = 75,855.83

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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.