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Finding the Fourth Proportional to 208,045.16, 311,880.41 and 74,831.78

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Solution

The fourth proportional to 208,045.16, 311,880.41 and 74,831.78 is: 112,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,045.16 : 311,880.41 = 74,831.78 : x
  2. Step 2: Convert to fraction form
    208,045.16/311,880.41 = 74,831.78/x
  3. Step 3: Cross multiply
    208,045.16x = 311,880.41 × 74,831.78
  4. Step 4: Simplify right side
    208,045.16x = 23,338,566,227.43
  5. Step 5: Solve for x
    x = 23,338,566,227.43/208,045.16
  6. Step 6: Final answer
    x = 112,180.29

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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.