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Finding the Fourth Proportional to 100,498.94, 138,690.26 and 55,178.83

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Solution

The fourth proportional to 100,498.94, 138,690.26 and 55,178.83 is: 76,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,498.94 : 138,690.26 = 55,178.83 : x
  2. Step 2: Convert to fraction form
    100,498.94/138,690.26 = 55,178.83/x
  3. Step 3: Cross multiply
    100,498.94x = 138,690.26 × 55,178.83
  4. Step 4: Simplify right side
    100,498.94x = 7,652,766,383.59
  5. Step 5: Solve for x
    x = 7,652,766,383.59/100,498.94
  6. Step 6: Final answer
    x = 76,147.73

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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.