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Finding the Fourth Proportional to 120,133.52, 165,787.72 and 66,422.00

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Solution

The fourth proportional to 120,133.52, 165,787.72 and 66,422.00 is: 91,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,133.52 : 165,787.72 = 66,422.00 : x
  2. Step 2: Convert to fraction form
    120,133.52/165,787.72 = 66,422.00/x
  3. Step 3: Cross multiply
    120,133.52x = 165,787.72 × 66,422.00
  4. Step 4: Simplify right side
    120,133.52x = 11,011,950,942.85
  5. Step 5: Solve for x
    x = 11,011,950,942.85/120,133.52
  6. Step 6: Final answer
    x = 91,664.26

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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.