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Finding the Fourth Proportional to 207,709.66, 311,564.49 and 49,938.11

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Solution

The fourth proportional to 207,709.66, 311,564.49 and 49,938.11 is: 74,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,709.66 : 311,564.49 = 49,938.11 : x
  2. Step 2: Convert to fraction form
    207,709.66/311,564.49 = 49,938.11/x
  3. Step 3: Cross multiply
    207,709.66x = 311,564.49 × 49,938.11
  4. Step 4: Simplify right side
    207,709.66x = 15,558,941,874.81
  5. Step 5: Solve for x
    x = 15,558,941,874.81/207,709.66
  6. Step 6: Final answer
    x = 74,907.17

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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.