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Finding the Fourth Proportional to 201,814.75, 278,504.42 and 116,981.02

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Solution

The fourth proportional to 201,814.75, 278,504.42 and 116,981.02 is: 161,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814.75 : 278,504.42 = 116,981.02 : x
  2. Step 2: Convert to fraction form
    201,814.75/278,504.42 = 116,981.02/x
  3. Step 3: Cross multiply
    201,814.75x = 278,504.42 × 116,981.02
  4. Step 4: Simplify right side
    201,814.75x = 32,579,731,126.11
  5. Step 5: Solve for x
    x = 32,579,731,126.11/201,814.75
  6. Step 6: Final answer
    x = 161,433.85

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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.