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Finding the Fourth Proportional to 165,734, 228,712.96 and 90,282.48

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Solution

The fourth proportional to 165,734, 228,712.96 and 90,282.48 is: 124,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,734 : 228,712.96 = 90,282.48 : x
  2. Step 2: Convert to fraction form
    165,734/228,712.96 = 90,282.48/x
  3. Step 3: Cross multiply
    165,734x = 228,712.96 × 90,282.48
  4. Step 4: Simplify right side
    165,734x = 20,648,773,236.94
  5. Step 5: Solve for x
    x = 20,648,773,236.94/165,734
  6. Step 6: Final answer
    x = 124,589.84

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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.