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Finding the Fourth Proportional to 120,213.72, 165,914.70 and 69,941.88

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Solution

The fourth proportional to 120,213.72, 165,914.70 and 69,941.88 is: 96,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,213.72 : 165,914.70 = 69,941.88 : x
  2. Step 2: Convert to fraction form
    120,213.72/165,914.70 = 69,941.88/x
  3. Step 3: Cross multiply
    120,213.72x = 165,914.70 × 69,941.88
  4. Step 4: Simplify right side
    120,213.72x = 11,604,386,037.64
  5. Step 5: Solve for x
    x = 11,604,386,037.64/120,213.72
  6. Step 6: Final answer
    x = 96,531.29

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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.