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Finding the Fourth Proportional to 208,196.16, 312,268.32 and 67,943.04

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Solution

The fourth proportional to 208,196.16, 312,268.32 and 67,943.04 is: 101,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,196.16 : 312,268.32 = 67,943.04 : x
  2. Step 2: Convert to fraction form
    208,196.16/312,268.32 = 67,943.04/x
  3. Step 3: Cross multiply
    208,196.16x = 312,268.32 × 67,943.04
  4. Step 4: Simplify right side
    208,196.16x = 21,216,458,956.49
  5. Step 5: Solve for x
    x = 21,216,458,956.49/208,196.16
  6. Step 6: Final answer
    x = 101,906.10

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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.