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Finding the Fourth Proportional to 120,254.82, 165,964.32 and 69,269.64

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Solution

The fourth proportional to 120,254.82, 165,964.32 and 69,269.64 is: 95,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,254.82 : 165,964.32 = 69,269.64 : x
  2. Step 2: Convert to fraction form
    120,254.82/165,964.32 = 69,269.64/x
  3. Step 3: Cross multiply
    120,254.82x = 165,964.32 × 69,269.64
  4. Step 4: Simplify right side
    120,254.82x = 11,496,288,699.24
  5. Step 5: Solve for x
    x = 11,496,288,699.24/120,254.82
  6. Step 6: Final answer
    x = 95,599.40

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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.