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Finding the Fourth Proportional to 201,849.50, 278,552.32 and 112,425.50

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Solution

The fourth proportional to 201,849.50, 278,552.32 and 112,425.50 is: 155,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,849.50 : 278,552.32 = 112,425.50 : x
  2. Step 2: Convert to fraction form
    201,849.50/278,552.32 = 112,425.50/x
  3. Step 3: Cross multiply
    201,849.50x = 278,552.32 × 112,425.50
  4. Step 4: Simplify right side
    201,849.50x = 31,316,383,852.16
  5. Step 5: Solve for x
    x = 31,316,383,852.16/201,849.50
  6. Step 6: Final answer
    x = 155,147.20

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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.