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Finding the Fourth Proportional to 201,611.70, 278,224.13 and 109,731.65

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Solution

The fourth proportional to 201,611.70, 278,224.13 and 109,731.65 is: 151,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611.70 : 278,224.13 = 109,731.65 : x
  2. Step 2: Convert to fraction form
    201,611.70/278,224.13 = 109,731.65/x
  3. Step 3: Cross multiply
    201,611.70x = 278,224.13 × 109,731.65
  4. Step 4: Simplify right side
    201,611.70x = 30,529,992,854.71
  5. Step 5: Solve for x
    x = 30,529,992,854.71/201,611.70
  6. Step 6: Final answer
    x = 151,429.67

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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.