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Finding the Fourth Proportional to 120,713.74, 166,583.74 and 66,999.22

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Solution

The fourth proportional to 120,713.74, 166,583.74 and 66,999.22 is: 92,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,713.74 : 166,583.74 = 66,999.22 : x
  2. Step 2: Convert to fraction form
    120,713.74/166,583.74 = 66,999.22/x
  3. Step 3: Cross multiply
    120,713.74x = 166,583.74 × 66,999.22
  4. Step 4: Simplify right side
    120,713.74x = 11,160,980,644.68
  5. Step 5: Solve for x
    x = 11,160,980,644.68/120,713.74
  6. Step 6: Final answer
    x = 92,458.25

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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.