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Finding the Fourth Proportional to 120,223.41, 165,894.75 and 66,500.97

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Solution

The fourth proportional to 120,223.41, 165,894.75 and 66,500.97 is: 91,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223.41 : 165,894.75 = 66,500.97 : x
  2. Step 2: Convert to fraction form
    120,223.41/165,894.75 = 66,500.97/x
  3. Step 3: Cross multiply
    120,223.41x = 165,894.75 × 66,500.97
  4. Step 4: Simplify right side
    120,223.41x = 11,032,161,792.91
  5. Step 5: Solve for x
    x = 11,032,161,792.91/120,223.41
  6. Step 6: Final answer
    x = 91,763.84

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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.