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Finding the Fourth Proportional to 120,498.60, 166,288.08 and 66,787.08

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Solution

The fourth proportional to 120,498.60, 166,288.08 and 66,787.08 is: 92,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,498.60 : 166,288.08 = 66,787.08 : x
  2. Step 2: Convert to fraction form
    120,498.60/166,288.08 = 66,787.08/x
  3. Step 3: Cross multiply
    120,498.60x = 166,288.08 × 66,787.08
  4. Step 4: Simplify right side
    120,498.60x = 11,105,895,302.01
  5. Step 5: Solve for x
    x = 11,105,895,302.01/120,498.60
  6. Step 6: Final answer
    x = 92,166.18

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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.