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Finding the Fourth Proportional to 120,942.48, 166,856.40 and 73,178.40

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Solution

The fourth proportional to 120,942.48, 166,856.40 and 73,178.40 is: 100,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,942.48 : 166,856.40 = 73,178.40 : x
  2. Step 2: Convert to fraction form
    120,942.48/166,856.40 = 73,178.40/x
  3. Step 3: Cross multiply
    120,942.48x = 166,856.40 × 73,178.40
  4. Step 4: Simplify right side
    120,942.48x = 12,210,284,381.76
  5. Step 5: Solve for x
    x = 12,210,284,381.76/120,942.48
  6. Step 6: Final answer
    x = 100,959.43

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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.