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Finding the Fourth Proportional to 120,353.79, 166,097.58 and 66,643.80

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Solution

The fourth proportional to 120,353.79, 166,097.58 and 66,643.80 is: 91,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,353.79 : 166,097.58 = 66,643.80 : x
  2. Step 2: Convert to fraction form
    120,353.79/166,097.58 = 66,643.80/x
  3. Step 3: Cross multiply
    120,353.79x = 166,097.58 × 66,643.80
  4. Step 4: Simplify right side
    120,353.79x = 11,069,373,568.79
  5. Step 5: Solve for x
    x = 11,069,373,568.79/120,353.79
  6. Step 6: Final answer
    x = 91,973.62

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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.