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Finding the Fourth Proportional to 201,880.96, 278,592.96 and 112,456.96

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Solution

The fourth proportional to 201,880.96, 278,592.96 and 112,456.96 is: 155,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880.96 : 278,592.96 = 112,456.96 : x
  2. Step 2: Convert to fraction form
    201,880.96/278,592.96 = 112,456.96/x
  3. Step 3: Cross multiply
    201,880.96x = 278,592.96 × 112,456.96
  4. Step 4: Simplify right side
    201,880.96x = 31,329,717,359.00
  5. Step 5: Solve for x
    x = 31,329,717,359.00/201,880.96
  6. Step 6: Final answer
    x = 155,189.06

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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.