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Finding the Fourth Proportional to 165,348, 228,205.20 and 100,854.72

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Solution

The fourth proportional to 165,348, 228,205.20 and 100,854.72 is: 139,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,348 : 228,205.20 = 100,854.72 : x
  2. Step 2: Convert to fraction form
    165,348/228,205.20 = 100,854.72/x
  3. Step 3: Cross multiply
    165,348x = 228,205.20 × 100,854.72
  4. Step 4: Simplify right side
    165,348x = 23,015,571,548.54
  5. Step 5: Solve for x
    x = 23,015,571,548.54/165,348
  6. Step 6: Final answer
    x = 139,194.74

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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.