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Finding the Fourth Proportional to 120,142.93, 165,809.33 and 66,432.01

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Solution

The fourth proportional to 120,142.93, 165,809.33 and 66,432.01 is: 91,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,142.93 : 165,809.33 = 66,432.01 : x
  2. Step 2: Convert to fraction form
    120,142.93/165,809.33 = 66,432.01/x
  3. Step 3: Cross multiply
    120,142.93x = 165,809.33 × 66,432.01
  4. Step 4: Simplify right side
    120,142.93x = 11,015,046,736.49
  5. Step 5: Solve for x
    x = 11,015,046,736.49/120,142.93
  6. Step 6: Final answer
    x = 91,682.85

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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.