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Finding the Fourth Proportional to 120,698.64, 166,564.22 and 66,983.69

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Solution

The fourth proportional to 120,698.64, 166,564.22 and 66,983.69 is: 92,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.64 : 166,564.22 = 66,983.69 : x
  2. Step 2: Convert to fraction form
    120,698.64/166,564.22 = 66,983.69/x
  3. Step 3: Cross multiply
    120,698.64x = 166,564.22 × 66,983.69
  4. Step 4: Simplify right side
    120,698.64x = 11,157,086,159.06
  5. Step 5: Solve for x
    x = 11,157,086,159.06/120,698.64
  6. Step 6: Final answer
    x = 92,437.55

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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.