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Finding the Fourth Proportional to 120,893.32, 166,820.07 and 69,898.06

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Solution

The fourth proportional to 120,893.32, 166,820.07 and 69,898.06 is: 96,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,893.32 : 166,820.07 = 69,898.06 : x
  2. Step 2: Convert to fraction form
    120,893.32/166,820.07 = 69,898.06/x
  3. Step 3: Cross multiply
    120,893.32x = 166,820.07 × 69,898.06
  4. Step 4: Simplify right side
    120,893.32x = 11,660,399,262.06
  5. Step 5: Solve for x
    x = 11,660,399,262.06/120,893.32
  6. Step 6: Final answer
    x = 96,451.97

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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.