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Finding the Fourth Proportional to 208,084.28, 312,135.51 and 65,940.02

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Solution

The fourth proportional to 208,084.28, 312,135.51 and 65,940.02 is: 98,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,084.28 : 312,135.51 = 65,940.02 : x
  2. Step 2: Convert to fraction form
    208,084.28/312,135.51 = 65,940.02/x
  3. Step 3: Cross multiply
    208,084.28x = 312,135.51 × 65,940.02
  4. Step 4: Simplify right side
    208,084.28x = 20,582,223,014.07
  5. Step 5: Solve for x
    x = 20,582,223,014.07/208,084.28
  6. Step 6: Final answer
    x = 98,912.92

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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.