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Finding the Fourth Proportional to 207,954.30, 311,931.45 and 74,984.70

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Solution

The fourth proportional to 207,954.30, 311,931.45 and 74,984.70 is: 112,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,954.30 : 311,931.45 = 74,984.70 : x
  2. Step 2: Convert to fraction form
    207,954.30/311,931.45 = 74,984.70/x
  3. Step 3: Cross multiply
    207,954.30x = 311,931.45 × 74,984.70
  4. Step 4: Simplify right side
    207,954.30x = 23,390,086,198.82
  5. Step 5: Solve for x
    x = 23,390,086,198.82/207,954.30
  6. Step 6: Final answer
    x = 112,477.05

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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.