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Finding the Fourth Proportional to 120,291.81, 166,046.45 and 69,990.81

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Solution

The fourth proportional to 120,291.81, 166,046.45 and 69,990.81 is: 96,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,291.81 : 166,046.45 = 69,990.81 : x
  2. Step 2: Convert to fraction form
    120,291.81/166,046.45 = 69,990.81/x
  3. Step 3: Cross multiply
    120,291.81x = 166,046.45 × 69,990.81
  4. Step 4: Simplify right side
    120,291.81x = 11,621,725,533.12
  5. Step 5: Solve for x
    x = 11,621,725,533.12/120,291.81
  6. Step 6: Final answer
    x = 96,612.77

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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.