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Finding the Fourth Proportional to 100,589.88, 138,815.02 and 55,267.14

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Solution

The fourth proportional to 100,589.88, 138,815.02 and 55,267.14 is: 76,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589.88 : 138,815.02 = 55,267.14 : x
  2. Step 2: Convert to fraction form
    100,589.88/138,815.02 = 55,267.14/x
  3. Step 3: Cross multiply
    100,589.88x = 138,815.02 × 55,267.14
  4. Step 4: Simplify right side
    100,589.88x = 7,671,909,144.44
  5. Step 5: Solve for x
    x = 7,671,909,144.44/100,589.88
  6. Step 6: Final answer
    x = 76,269.19

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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.