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Finding the Fourth Proportional to 120,084.62, 165,739.62 and 79,176.78

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Solution

The fourth proportional to 120,084.62, 165,739.62 and 79,176.78 is: 109,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,084.62 : 165,739.62 = 79,176.78 : x
  2. Step 2: Convert to fraction form
    120,084.62/165,739.62 = 79,176.78/x
  3. Step 3: Cross multiply
    120,084.62x = 165,739.62 × 79,176.78
  4. Step 4: Simplify right side
    120,084.62x = 13,122,729,430.02
  5. Step 5: Solve for x
    x = 13,122,729,430.02/120,084.62
  6. Step 6: Final answer
    x = 109,279.02

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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.