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Finding the Fourth Proportional to 120,296.50, 166,009.17 and 70,028.98

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Solution

The fourth proportional to 120,296.50, 166,009.17 and 70,028.98 is: 96,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,296.50 : 166,009.17 = 70,028.98 : x
  2. Step 2: Convert to fraction form
    120,296.50/166,009.17 = 70,028.98/x
  3. Step 3: Cross multiply
    120,296.50x = 166,009.17 × 70,028.98
  4. Step 4: Simplify right side
    120,296.50x = 11,625,452,845.75
  5. Step 5: Solve for x
    x = 11,625,452,845.75/120,296.50
  6. Step 6: Final answer
    x = 96,639.99

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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.