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Finding the Fourth Proportional to 207,731.51, 311,599.81 and 74,611.71

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Solution

The fourth proportional to 207,731.51, 311,599.81 and 74,611.71 is: 111,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,731.51 : 311,599.81 = 74,611.71 : x
  2. Step 2: Convert to fraction form
    207,731.51/311,599.81 = 74,611.71/x
  3. Step 3: Cross multiply
    207,731.51x = 311,599.81 × 74,611.71
  4. Step 4: Simplify right side
    207,731.51x = 23,248,993,876.67
  5. Step 5: Solve for x
    x = 23,248,993,876.67/207,731.51
  6. Step 6: Final answer
    x = 111,918.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.