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Finding the Fourth Proportional to 201,852.65, 278,556.92 and 109,971.48

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Solution

The fourth proportional to 201,852.65, 278,556.92 and 109,971.48 is: 151,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852.65 : 278,556.92 = 109,971.48 : x
  2. Step 2: Convert to fraction form
    201,852.65/278,556.92 = 109,971.48/x
  3. Step 3: Cross multiply
    201,852.65x = 278,556.92 × 109,971.48
  4. Step 4: Simplify right side
    201,852.65x = 30,633,316,756.64
  5. Step 5: Solve for x
    x = 30,633,316,756.64/201,852.65
  6. Step 6: Final answer
    x = 151,760.79

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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.