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Finding the Fourth Proportional to 120,223.84, 165,921.30 and 69,238.24

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Solution

The fourth proportional to 120,223.84, 165,921.30 and 69,238.24 is: 95,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223.84 : 165,921.30 = 69,238.24 : x
  2. Step 2: Convert to fraction form
    120,223.84/165,921.30 = 69,238.24/x
  3. Step 3: Cross multiply
    120,223.84x = 165,921.30 × 69,238.24
  4. Step 4: Simplify right side
    120,223.84x = 11,488,098,790.51
  5. Step 5: Solve for x
    x = 11,488,098,790.51/120,223.84
  6. Step 6: Final answer
    x = 95,555.91

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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.