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Finding the Fourth Proportional to 215,992.95, 298,064.52 and 120,497.19

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Solution

The fourth proportional to 215,992.95, 298,064.52 and 120,497.19 is: 166,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,992.95 : 298,064.52 = 120,497.19 : x
  2. Step 2: Convert to fraction form
    215,992.95/298,064.52 = 120,497.19/x
  3. Step 3: Cross multiply
    215,992.95x = 298,064.52 × 120,497.19
  4. Step 4: Simplify right side
    215,992.95x = 35,915,937,098.70
  5. Step 5: Solve for x
    x = 35,915,937,098.70/215,992.95
  6. Step 6: Final answer
    x = 166,282.91

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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.