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Finding the Fourth Proportional to 120,200.31, 165,871.35 and 65,751.57

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Solution

The fourth proportional to 120,200.31, 165,871.35 and 65,751.57 is: 90,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,200.31 : 165,871.35 = 65,751.57 : x
  2. Step 2: Convert to fraction form
    120,200.31/165,871.35 = 65,751.57/x
  3. Step 3: Cross multiply
    120,200.31x = 165,871.35 × 65,751.57
  4. Step 4: Simplify right side
    120,200.31x = 10,906,301,680.52
  5. Step 5: Solve for x
    x = 10,906,301,680.52/120,200.31
  6. Step 6: Final answer
    x = 90,734.39

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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.