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Finding the Fourth Proportional to 120,678.89, 166,523.49 and 66,950.51

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Solution

The fourth proportional to 120,678.89, 166,523.49 and 66,950.51 is: 92,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,678.89 : 166,523.49 = 66,950.51 : x
  2. Step 2: Convert to fraction form
    120,678.89/166,523.49 = 66,950.51/x
  3. Step 3: Cross multiply
    120,678.89x = 166,523.49 × 66,950.51
  4. Step 4: Simplify right side
    120,678.89x = 11,148,831,749.86
  5. Step 5: Solve for x
    x = 11,148,831,749.86/120,678.89
  6. Step 6: Final answer
    x = 92,384.28

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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.