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Finding the Fourth Proportional to 120,102, 165,726.40 and 66,379.76

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Solution

The fourth proportional to 120,102, 165,726.40 and 66,379.76 is: 91,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102 : 165,726.40 = 66,379.76 : x
  2. Step 2: Convert to fraction form
    120,102/165,726.40 = 66,379.76/x
  3. Step 3: Cross multiply
    120,102x = 165,726.40 × 66,379.76
  4. Step 4: Simplify right side
    120,102x = 11,000,878,657.66
  5. Step 5: Solve for x
    x = 11,000,878,657.66/120,102
  6. Step 6: Final answer
    x = 91,596.13

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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.