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Finding the Fourth Proportional to 201,775.72, 278,441.42 and 115,672.96

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Solution

The fourth proportional to 201,775.72, 278,441.42 and 115,672.96 is: 159,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,775.72 : 278,441.42 = 115,672.96 : x
  2. Step 2: Convert to fraction form
    201,775.72/278,441.42 = 115,672.96/x
  3. Step 3: Cross multiply
    201,775.72x = 278,441.42 × 115,672.96
  4. Step 4: Simplify right side
    201,775.72x = 32,208,143,238.00
  5. Step 5: Solve for x
    x = 32,208,143,238.00/201,775.72
  6. Step 6: Final answer
    x = 159,623.48

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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.