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Finding the Fourth Proportional to 215,994.70, 298,066.93 and 120,498.94

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Solution

The fourth proportional to 215,994.70, 298,066.93 and 120,498.94 is: 166,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,994.70 : 298,066.93 = 120,498.94 : x
  2. Step 2: Convert to fraction form
    215,994.70/298,066.93 = 120,498.94/x
  3. Step 3: Cross multiply
    215,994.70x = 298,066.93 × 120,498.94
  4. Step 4: Simplify right side
    215,994.70x = 35,916,749,114.05
  5. Step 5: Solve for x
    x = 35,916,749,114.05/215,994.70
  6. Step 6: Final answer
    x = 166,285.33

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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.