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Finding the Fourth Proportional to 208,143.19, 311,963.35 and 101,367.14

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Solution

The fourth proportional to 208,143.19, 311,963.35 and 101,367.14 is: 151,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143.19 : 311,963.35 = 101,367.14 : x
  2. Step 2: Convert to fraction form
    208,143.19/311,963.35 = 101,367.14/x
  3. Step 3: Cross multiply
    208,143.19x = 311,963.35 × 101,367.14
  4. Step 4: Simplify right side
    208,143.19x = 31,622,832,574.32
  5. Step 5: Solve for x
    x = 31,622,832,574.32/208,143.19
  6. Step 6: Final answer
    x = 151,928.26

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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.