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Finding the Fourth Proportional to 120,223.58, 165,920.87 and 69,238.22

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Solution

The fourth proportional to 120,223.58, 165,920.87 and 69,238.22 is: 95,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223.58 : 165,920.87 = 69,238.22 : x
  2. Step 2: Convert to fraction form
    120,223.58/165,920.87 = 69,238.22/x
  3. Step 3: Cross multiply
    120,223.58x = 165,920.87 × 69,238.22
  4. Step 4: Simplify right side
    120,223.58x = 11,488,065,699.65
  5. Step 5: Solve for x
    x = 11,488,065,699.65/120,223.58
  6. Step 6: Final answer
    x = 95,555.84

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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.