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Finding the Fourth Proportional to 120,173.76, 165,839.94 and 65,726.64

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Solution

The fourth proportional to 120,173.76, 165,839.94 and 65,726.64 is: 90,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,173.76 : 165,839.94 = 65,726.64 : x
  2. Step 2: Convert to fraction form
    120,173.76/165,839.94 = 65,726.64/x
  3. Step 3: Cross multiply
    120,173.76x = 165,839.94 × 65,726.64
  4. Step 4: Simplify right side
    120,173.76x = 10,900,102,034.00
  5. Step 5: Solve for x
    x = 10,900,102,034.00/120,173.76
  6. Step 6: Final answer
    x = 90,702.85

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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.