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Finding the Fourth Proportional to 120,164.08, 165,830.79 and 77,722.60

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Solution

The fourth proportional to 120,164.08, 165,830.79 and 77,722.60 is: 107,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.08 : 165,830.79 = 77,722.60 : x
  2. Step 2: Convert to fraction form
    120,164.08/165,830.79 = 77,722.60/x
  3. Step 3: Cross multiply
    120,164.08x = 165,830.79 × 77,722.60
  4. Step 4: Simplify right side
    120,164.08x = 12,888,800,158.85
  5. Step 5: Solve for x
    x = 12,888,800,158.85/120,164.08
  6. Step 6: Final answer
    x = 107,260.01

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1.5x scale

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.