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Finding the Fourth Proportional to 120,219.46, 165,905.80 and 66,505.50

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Solution

The fourth proportional to 120,219.46, 165,905.80 and 66,505.50 is: 91,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,219.46 : 165,905.80 = 66,505.50 : x
  2. Step 2: Convert to fraction form
    120,219.46/165,905.80 = 66,505.50/x
  3. Step 3: Cross multiply
    120,219.46x = 165,905.80 × 66,505.50
  4. Step 4: Simplify right side
    120,219.46x = 11,033,648,181.90
  5. Step 5: Solve for x
    x = 11,033,648,181.90/120,219.46
  6. Step 6: Final answer
    x = 91,779.22

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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.