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Finding the Fourth Proportional to 120,219.99, 165,873.75 and 77,727.39

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Solution

The fourth proportional to 120,219.99, 165,873.75 and 77,727.39 is: 107,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,219.99 : 165,873.75 = 77,727.39 : x
  2. Step 2: Convert to fraction form
    120,219.99/165,873.75 = 77,727.39/x
  3. Step 3: Cross multiply
    120,219.99x = 165,873.75 × 77,727.39
  4. Step 4: Simplify right side
    120,219.99x = 12,892,933,657.01
  5. Step 5: Solve for x
    x = 12,892,933,657.01/120,219.99
  6. Step 6: Final answer
    x = 107,244.51

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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.