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Finding the Fourth Proportional to 201,879.81, 302,534.12 and 111,962.12

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Solution

The fourth proportional to 201,879.81, 302,534.12 and 111,962.12 is: 167,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,879.81 : 302,534.12 = 111,962.12 : x
  2. Step 2: Convert to fraction form
    201,879.81/302,534.12 = 111,962.12/x
  3. Step 3: Cross multiply
    201,879.81x = 302,534.12 × 111,962.12
  4. Step 4: Simplify right side
    201,879.81x = 33,872,360,214.77
  5. Step 5: Solve for x
    x = 33,872,360,214.77/201,879.81
  6. Step 6: Final answer
    x = 167,784.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.