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Finding the Fourth Proportional to 208,138.31, 311,956.04 and 101,362.26

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Solution

The fourth proportional to 208,138.31, 311,956.04 and 101,362.26 is: 151,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,138.31 : 311,956.04 = 101,362.26 : x
  2. Step 2: Convert to fraction form
    208,138.31/311,956.04 = 101,362.26/x
  3. Step 3: Cross multiply
    208,138.31x = 311,956.04 × 101,362.26
  4. Step 4: Simplify right side
    208,138.31x = 31,620,569,280.25
  5. Step 5: Solve for x
    x = 31,620,569,280.25/208,138.31
  6. Step 6: Final answer
    x = 151,920.95

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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.