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Finding the Fourth Proportional to 197,083, 271,974.54 and 107,659

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Solution

The fourth proportional to 197,083, 271,974.54 and 107,659 is: 148,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,083 : 271,974.54 = 107,659 : x
  2. Step 2: Convert to fraction form
    197,083/271,974.54 = 107,659/x
  3. Step 3: Cross multiply
    197,083x = 271,974.54 × 107,659
  4. Step 4: Simplify right side
    197,083x = 29,280,507,001.86
  5. Step 5: Solve for x
    x = 29,280,507,001.86/197,083
  6. Step 6: Final answer
    x = 148,569.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.