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Finding the Fourth Proportional to 120,295.50, 166,007.79 and 70,027.98

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Solution

The fourth proportional to 120,295.50, 166,007.79 and 70,027.98 is: 96,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,295.50 : 166,007.79 = 70,027.98 : x
  2. Step 2: Convert to fraction form
    120,295.50/166,007.79 = 70,027.98/x
  3. Step 3: Cross multiply
    120,295.50x = 166,007.79 × 70,027.98
  4. Step 4: Simplify right side
    120,295.50x = 11,625,190,197.96
  5. Step 5: Solve for x
    x = 11,625,190,197.96/120,295.50
  6. Step 6: Final answer
    x = 96,638.61

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1.5x scale

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.