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Finding the Fourth Proportional to 120,465.79, 166,091.65 and 77,369.20

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Solution

The fourth proportional to 120,465.79, 166,091.65 and 77,369.20 is: 106,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,465.79 : 166,091.65 = 77,369.20 : x
  2. Step 2: Convert to fraction form
    120,465.79/166,091.65 = 77,369.20/x
  3. Step 3: Cross multiply
    120,465.79x = 166,091.65 × 77,369.20
  4. Step 4: Simplify right side
    120,465.79x = 12,850,378,087.18
  5. Step 5: Solve for x
    x = 12,850,378,087.18/120,465.79
  6. Step 6: Final answer
    x = 106,672.43

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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.