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Finding the Fourth Proportional to 120,570.52, 166,389.30 and 66,857.80

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Solution

The fourth proportional to 120,570.52, 166,389.30 and 66,857.80 is: 92,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,570.52 : 166,389.30 = 66,857.80 : x
  2. Step 2: Convert to fraction form
    120,570.52/166,389.30 = 66,857.80/x
  3. Step 3: Cross multiply
    120,570.52x = 166,389.30 × 66,857.80
  4. Step 4: Simplify right side
    120,570.52x = 11,124,422,541.54
  5. Step 5: Solve for x
    x = 11,124,422,541.54/120,570.52
  6. Step 6: Final answer
    x = 92,264.86

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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.