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Finding the Fourth Proportional to 120,141.87, 165,835.13 and 84,340.68

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Solution

The fourth proportional to 120,141.87, 165,835.13 and 84,340.68 is: 116,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,141.87 : 165,835.13 = 84,340.68 : x
  2. Step 2: Convert to fraction form
    120,141.87/165,835.13 = 84,340.68/x
  3. Step 3: Cross multiply
    120,141.87x = 165,835.13 × 84,340.68
  4. Step 4: Simplify right side
    120,141.87x = 13,986,647,210.39
  5. Step 5: Solve for x
    x = 13,986,647,210.39/120,141.87
  6. Step 6: Final answer
    x = 116,417.76

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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.