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Finding the Fourth Proportional to 120,220.84, 165,917.16 and 69,235.24

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Solution

The fourth proportional to 120,220.84, 165,917.16 and 69,235.24 is: 95,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,220.84 : 165,917.16 = 69,235.24 : x
  2. Step 2: Convert to fraction form
    120,220.84/165,917.16 = 69,235.24/x
  3. Step 3: Cross multiply
    120,220.84x = 165,917.16 × 69,235.24
  4. Step 4: Simplify right side
    120,220.84x = 11,487,314,392.72
  5. Step 5: Solve for x
    x = 11,487,314,392.72/120,220.84
  6. Step 6: Final answer
    x = 95,551.77

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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.