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Finding the Fourth Proportional to 201,795.13, 278,477.34 and 116,961.40

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Solution

The fourth proportional to 201,795.13, 278,477.34 and 116,961.40 is: 161,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,795.13 : 278,477.34 = 116,961.40 : x
  2. Step 2: Convert to fraction form
    201,795.13/278,477.34 = 116,961.40/x
  3. Step 3: Cross multiply
    201,795.13x = 278,477.34 × 116,961.40
  4. Step 4: Simplify right side
    201,795.13x = 32,571,098,162.29
  5. Step 5: Solve for x
    x = 32,571,098,162.29/201,795.13
  6. Step 6: Final answer
    x = 161,406.76

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