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Finding the Fourth Proportional to 165,840, 228,859.20 and 90,388.68

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Solution

The fourth proportional to 165,840, 228,859.20 and 90,388.68 is: 124,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,840 : 228,859.20 = 90,388.68 : x
  2. Step 2: Convert to fraction form
    165,840/228,859.20 = 90,388.68/x
  3. Step 3: Cross multiply
    165,840x = 228,859.20 × 90,388.68
  4. Step 4: Simplify right side
    165,840x = 20,686,280,993.86
  5. Step 5: Solve for x
    x = 20,686,280,993.86/165,840
  6. Step 6: Final answer
    x = 124,736.38

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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.