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Finding the Fourth Proportional to 120,065.64, 165,700.56 and 66,361.14

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Solution

The fourth proportional to 120,065.64, 165,700.56 and 66,361.14 is: 91,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,065.64 : 165,700.56 = 66,361.14 : x
  2. Step 2: Convert to fraction form
    120,065.64/165,700.56 = 66,361.14/x
  3. Step 3: Cross multiply
    120,065.64x = 165,700.56 × 66,361.14
  4. Step 4: Simplify right side
    120,065.64x = 10,996,078,060.24
  5. Step 5: Solve for x
    x = 10,996,078,060.24/120,065.64
  6. Step 6: Final answer
    x = 91,583.89

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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.