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Finding the Fourth Proportional to 120,426.21, 165,994.48 and 81,651.48

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Solution

The fourth proportional to 120,426.21, 165,994.48 and 81,651.48 is: 112,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,426.21 : 165,994.48 = 81,651.48 : x
  2. Step 2: Convert to fraction form
    120,426.21/165,994.48 = 81,651.48/x
  3. Step 3: Cross multiply
    120,426.21x = 165,994.48 × 81,651.48
  4. Step 4: Simplify right side
    120,426.21x = 13,553,694,443.42
  5. Step 5: Solve for x
    x = 13,553,694,443.42/120,426.21
  6. Step 6: Final answer
    x = 112,547.71

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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.