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Finding the Fourth Proportional to 201,879.60, 302,856.12 and 83,486.64

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Solution

The fourth proportional to 201,879.60, 302,856.12 and 83,486.64 is: 125,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,879.60 : 302,856.12 = 83,486.64 : x
  2. Step 2: Convert to fraction form
    201,879.60/302,856.12 = 83,486.64/x
  3. Step 3: Cross multiply
    201,879.60x = 302,856.12 × 83,486.64
  4. Step 4: Simplify right side
    201,879.60x = 25,284,439,862.24
  5. Step 5: Solve for x
    x = 25,284,439,862.24/201,879.60
  6. Step 6: Final answer
    x = 125,245.15

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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.