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Finding the Fourth Proportional to 215,996.93, 298,075.95 and 120,503.65

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Solution

The fourth proportional to 215,996.93, 298,075.95 and 120,503.65 is: 166,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,996.93 : 298,075.95 = 120,503.65 : x
  2. Step 2: Convert to fraction form
    215,996.93/298,075.95 = 120,503.65/x
  3. Step 3: Cross multiply
    215,996.93x = 298,075.95 × 120,503.65
  4. Step 4: Simplify right side
    215,996.93x = 35,919,239,765.92
  5. Step 5: Solve for x
    x = 35,919,239,765.92/215,996.93
  6. Step 6: Final answer
    x = 166,295.14

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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.