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Finding the Fourth Proportional to 165,926.20, 228,978.12 and 90,474.70

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Solution

The fourth proportional to 165,926.20, 228,978.12 and 90,474.70 is: 124,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,926.20 : 228,978.12 = 90,474.70 : x
  2. Step 2: Convert to fraction form
    165,926.20/228,978.12 = 90,474.70/x
  3. Step 3: Cross multiply
    165,926.20x = 228,978.12 × 90,474.70
  4. Step 4: Simplify right side
    165,926.20x = 20,716,726,713.56
  5. Step 5: Solve for x
    x = 20,716,726,713.56/165,926.20
  6. Step 6: Final answer
    x = 124,855.07

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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.