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Finding the Fourth Proportional to 165,609, 228,540.60 and 90,157.68

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Solution

The fourth proportional to 165,609, 228,540.60 and 90,157.68 is: 124,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,609 : 228,540.60 = 90,157.68 : x
  2. Step 2: Convert to fraction form
    165,609/228,540.60 = 90,157.68/x
  3. Step 3: Cross multiply
    165,609x = 228,540.60 × 90,157.68
  4. Step 4: Simplify right side
    165,609x = 20,604,690,281.81
  5. Step 5: Solve for x
    x = 20,604,690,281.81/165,609
  6. Step 6: Final answer
    x = 124,417.70

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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.