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Finding the Fourth Proportional to 120,783.53, 166,691.24 and 67,072.02

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Solution

The fourth proportional to 120,783.53, 166,691.24 and 67,072.02 is: 92,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783.53 : 166,691.24 = 67,072.02 : x
  2. Step 2: Convert to fraction form
    120,783.53/166,691.24 = 67,072.02/x
  3. Step 3: Cross multiply
    120,783.53x = 166,691.24 × 67,072.02
  4. Step 4: Simplify right side
    120,783.53x = 11,180,319,069.27
  5. Step 5: Solve for x
    x = 11,180,319,069.27/120,783.53
  6. Step 6: Final answer
    x = 92,564.93

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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.