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Finding the Fourth Proportional to 215,995.50, 298,072.98 and 120,496.50

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Solution

The fourth proportional to 215,995.50, 298,072.98 and 120,496.50 is: 166,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,995.50 : 298,072.98 = 120,496.50 : x
  2. Step 2: Convert to fraction form
    215,995.50/298,072.98 = 120,496.50/x
  3. Step 3: Cross multiply
    215,995.50x = 298,072.98 × 120,496.50
  4. Step 4: Simplify right side
    215,995.50x = 35,916,750,834.57
  5. Step 5: Solve for x
    x = 35,916,750,834.57/215,995.50
  6. Step 6: Final answer
    x = 166,284.72

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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.