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Finding the Fourth Proportional to 120,382.61, 166,072.88 and 77,954.81

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Solution

The fourth proportional to 120,382.61, 166,072.88 and 77,954.81 is: 107,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,382.61 : 166,072.88 = 77,954.81 : x
  2. Step 2: Convert to fraction form
    120,382.61/166,072.88 = 77,954.81/x
  3. Step 3: Cross multiply
    120,382.61x = 166,072.88 × 77,954.81
  4. Step 4: Simplify right side
    120,382.61x = 12,946,179,171.08
  5. Step 5: Solve for x
    x = 12,946,179,171.08/120,382.61
  6. Step 6: Final answer
    x = 107,541.94

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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.