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Finding the Fourth Proportional to 120,498.70, 166,283.94 and 66,788.71

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Solution

The fourth proportional to 120,498.70, 166,283.94 and 66,788.71 is: 92,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,498.70 : 166,283.94 = 66,788.71 : x
  2. Step 2: Convert to fraction form
    120,498.70/166,283.94 = 66,788.71/x
  3. Step 3: Cross multiply
    120,498.70x = 166,283.94 × 66,788.71
  4. Step 4: Simplify right side
    120,498.70x = 11,105,889,846.32
  5. Step 5: Solve for x
    x = 11,105,889,846.32/120,498.70
  6. Step 6: Final answer
    x = 92,166.06

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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.