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Finding the Fourth Proportional to 215,809.49, 297,813.84 and 120,313.73

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Solution

The fourth proportional to 215,809.49, 297,813.84 and 120,313.73 is: 166,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,809.49 : 297,813.84 = 120,313.73 : x
  2. Step 2: Convert to fraction form
    215,809.49/297,813.84 = 120,313.73/x
  3. Step 3: Cross multiply
    215,809.49x = 297,813.84 × 120,313.73
  4. Step 4: Simplify right side
    215,809.49x = 35,831,093,936.02
  5. Step 5: Solve for x
    x = 35,831,093,936.02/215,809.49
  6. Step 6: Final answer
    x = 166,031.13

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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.