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Finding the Fourth Proportional to 120,122.66, 165,764.07 and 65,673.79

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Solution

The fourth proportional to 120,122.66, 165,764.07 and 65,673.79 is: 90,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,122.66 : 165,764.07 = 65,673.79 : x
  2. Step 2: Convert to fraction form
    120,122.66/165,764.07 = 65,673.79/x
  3. Step 3: Cross multiply
    120,122.66x = 165,764.07 × 65,673.79
  4. Step 4: Simplify right side
    120,122.66x = 10,886,354,308.32
  5. Step 5: Solve for x
    x = 10,886,354,308.32/120,122.66
  6. Step 6: Final answer
    x = 90,626.98

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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.