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Finding the Fourth Proportional to 200,085.20, 299,978.72 and 66,886.64

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Solution

The fourth proportional to 200,085.20, 299,978.72 and 66,886.64 is: 100,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,085.20 : 299,978.72 = 66,886.64 : x
  2. Step 2: Convert to fraction form
    200,085.20/299,978.72 = 66,886.64/x
  3. Step 3: Cross multiply
    200,085.20x = 299,978.72 × 66,886.64
  4. Step 4: Simplify right side
    200,085.20x = 20,064,568,652.30
  5. Step 5: Solve for x
    x = 20,064,568,652.30/200,085.20
  6. Step 6: Final answer
    x = 100,280.12

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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.