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Finding the Fourth Proportional to 120,702.96, 166,708.32 and 79,494.16

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Solution

The fourth proportional to 120,702.96, 166,708.32 and 79,494.16 is: 109,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,702.96 : 166,708.32 = 79,494.16 : x
  2. Step 2: Convert to fraction form
    120,702.96/166,708.32 = 79,494.16/x
  3. Step 3: Cross multiply
    120,702.96x = 166,708.32 × 79,494.16
  4. Step 4: Simplify right side
    120,702.96x = 13,252,337,863.41
  5. Step 5: Solve for x
    x = 13,252,337,863.41/120,702.96
  6. Step 6: Final answer
    x = 109,792.98

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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.