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Finding the Fourth Proportional to 120,090.60, 165,725.68 and 65,642.84

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Solution

The fourth proportional to 120,090.60, 165,725.68 and 65,642.84 is: 90,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,090.60 : 165,725.68 = 65,642.84 : x
  2. Step 2: Convert to fraction form
    120,090.60/165,725.68 = 65,642.84/x
  3. Step 3: Cross multiply
    120,090.60x = 165,725.68 × 65,642.84
  4. Step 4: Simplify right side
    120,090.60x = 10,878,705,226.31
  5. Step 5: Solve for x
    x = 10,878,705,226.31/120,090.60
  6. Step 6: Final answer
    x = 90,587.48

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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.