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Finding the Fourth Proportional to 120,168.42, 165,828.24 and 69,179.46

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Solution

The fourth proportional to 120,168.42, 165,828.24 and 69,179.46 is: 95,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168.42 : 165,828.24 = 69,179.46 : x
  2. Step 2: Convert to fraction form
    120,168.42/165,828.24 = 69,179.46/x
  3. Step 3: Cross multiply
    120,168.42x = 165,828.24 × 69,179.46
  4. Step 4: Simplify right side
    120,168.42x = 11,471,908,095.95
  5. Step 5: Solve for x
    x = 11,471,908,095.95/120,168.42
  6. Step 6: Final answer
    x = 95,465.25

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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.