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Finding the Fourth Proportional to 201,666.76, 278,287.86 and 111,005.08

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Solution

The fourth proportional to 201,666.76, 278,287.86 and 111,005.08 is: 153,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,666.76 : 278,287.86 = 111,005.08 : x
  2. Step 2: Convert to fraction form
    201,666.76/278,287.86 = 111,005.08/x
  3. Step 3: Cross multiply
    201,666.76x = 278,287.86 × 111,005.08
  4. Step 4: Simplify right side
    201,666.76x = 30,891,366,162.33
  5. Step 5: Solve for x
    x = 30,891,366,162.33/201,666.76
  6. Step 6: Final answer
    x = 153,180.26

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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.