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Finding the Fourth Proportional to 120,305.44, 165,983.34 and 69,994.72

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Solution

The fourth proportional to 120,305.44, 165,983.34 and 69,994.72 is: 96,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,305.44 : 165,983.34 = 69,994.72 : x
  2. Step 2: Convert to fraction form
    120,305.44/165,983.34 = 69,994.72/x
  3. Step 3: Cross multiply
    120,305.44x = 165,983.34 × 69,994.72
  4. Step 4: Simplify right side
    120,305.44x = 11,617,957,407.96
  5. Step 5: Solve for x
    x = 11,617,957,407.96/120,305.44
  6. Step 6: Final answer
    x = 96,570.51

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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.