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Finding the Fourth Proportional to 120,134.08, 165,770.70 and 66,411.88

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Solution

The fourth proportional to 120,134.08, 165,770.70 and 66,411.88 is: 91,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,134.08 : 165,770.70 = 66,411.88 : x
  2. Step 2: Convert to fraction form
    120,134.08/165,770.70 = 66,411.88/x
  3. Step 3: Cross multiply
    120,134.08x = 165,770.70 × 66,411.88
  4. Step 4: Simplify right side
    120,134.08x = 11,009,143,835.92
  5. Step 5: Solve for x
    x = 11,009,143,835.92/120,134.08
  6. Step 6: Final answer
    x = 91,640.47

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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.