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Finding the Fourth Proportional to 120,178.94, 165,852.12 and 66,463.97

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Solution

The fourth proportional to 120,178.94, 165,852.12 and 66,463.97 is: 91,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.94 : 165,852.12 = 66,463.97 : x
  2. Step 2: Convert to fraction form
    120,178.94/165,852.12 = 66,463.97/x
  3. Step 3: Cross multiply
    120,178.94x = 165,852.12 × 66,463.97
  4. Step 4: Simplify right side
    120,178.94x = 11,023,190,328.12
  5. Step 5: Solve for x
    x = 11,023,190,328.12/120,178.94
  6. Step 6: Final answer
    x = 91,723.14

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1.5x scale

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.