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Finding the Fourth Proportional to 120,698.96, 166,702.81 and 79,490.17

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Solution

The fourth proportional to 120,698.96, 166,702.81 and 79,490.17 is: 109,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.96 : 166,702.81 = 79,490.17 : x
  2. Step 2: Convert to fraction form
    120,698.96/166,702.81 = 79,490.17/x
  3. Step 3: Cross multiply
    120,698.96x = 166,702.81 × 79,490.17
  4. Step 4: Simplify right side
    120,698.96x = 13,251,233,475.41
  5. Step 5: Solve for x
    x = 13,251,233,475.41/120,698.96
  6. Step 6: Final answer
    x = 109,787.47

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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.