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Finding the Fourth Proportional to 216,389.32, 298,611.74 and 120,896.74

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Solution

The fourth proportional to 216,389.32, 298,611.74 and 120,896.74 is: 166,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,389.32 : 298,611.74 = 120,896.74 : x
  2. Step 2: Convert to fraction form
    216,389.32/298,611.74 = 120,896.74/x
  3. Step 3: Cross multiply
    216,389.32x = 298,611.74 × 120,896.74
  4. Step 4: Simplify right side
    216,389.32x = 36,101,185,891.73
  5. Step 5: Solve for x
    x = 36,101,185,891.73/216,389.32
  6. Step 6: Final answer
    x = 166,834.42

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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.