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Finding the Fourth Proportional to 201,902.88, 278,616 and 117,047.52

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Solution

The fourth proportional to 201,902.88, 278,616 and 117,047.52 is: 161,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.88 : 278,616 = 117,047.52 : x
  2. Step 2: Convert to fraction form
    201,902.88/278,616 = 117,047.52/x
  3. Step 3: Cross multiply
    201,902.88x = 278,616 × 117,047.52
  4. Step 4: Simplify right side
    201,902.88x = 32,611,311,832.32
  5. Step 5: Solve for x
    x = 32,611,311,832.32/201,902.88
  6. Step 6: Final answer
    x = 161,519.80

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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.