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Finding the Fourth Proportional to 120,096.64, 165,623.16 and 72,266.96

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Solution

The fourth proportional to 120,096.64, 165,623.16 and 72,266.96 is: 99,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,096.64 : 165,623.16 = 72,266.96 : x
  2. Step 2: Convert to fraction form
    120,096.64/165,623.16 = 72,266.96/x
  3. Step 3: Cross multiply
    120,096.64x = 165,623.16 × 72,266.96
  4. Step 4: Simplify right side
    120,096.64x = 11,969,082,278.79
  5. Step 5: Solve for x
    x = 11,969,082,278.79/120,096.64
  6. Step 6: Final answer
    x = 99,662.09

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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.