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Finding the Fourth Proportional to 120,702.86, 166,589.98 and 70,401.86

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Solution

The fourth proportional to 120,702.86, 166,589.98 and 70,401.86 is: 97,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,702.86 : 166,589.98 = 70,401.86 : x
  2. Step 2: Convert to fraction form
    120,702.86/166,589.98 = 70,401.86/x
  3. Step 3: Cross multiply
    120,702.86x = 166,589.98 × 70,401.86
  4. Step 4: Simplify right side
    120,702.86x = 11,728,244,449.36
  5. Step 5: Solve for x
    x = 11,728,244,449.36/120,702.86
  6. Step 6: Final answer
    x = 97,166.25

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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.