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Finding the Fourth Proportional to 120,135.88, 165,784.92 and 66,423.16

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Solution

The fourth proportional to 120,135.88, 165,784.92 and 66,423.16 is: 91,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,135.88 : 165,784.92 = 66,423.16 : x
  2. Step 2: Convert to fraction form
    120,135.88/165,784.92 = 66,423.16/x
  3. Step 3: Cross multiply
    120,135.88x = 165,784.92 × 66,423.16
  4. Step 4: Simplify right side
    120,135.88x = 11,011,958,266.75
  5. Step 5: Solve for x
    x = 11,011,958,266.75/120,135.88
  6. Step 6: Final answer
    x = 91,662.53

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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.