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Finding the Fourth Proportional to 253,680.51, 380,478.24 and 85,181.88

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Solution

The fourth proportional to 253,680.51, 380,478.24 and 85,181.88 is: 127,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,680.51 : 380,478.24 = 85,181.88 : x
  2. Step 2: Convert to fraction form
    253,680.51/380,478.24 = 85,181.88/x
  3. Step 3: Cross multiply
    253,680.51x = 380,478.24 × 85,181.88
  4. Step 4: Simplify right side
    253,680.51x = 32,409,851,782.29
  5. Step 5: Solve for x
    x = 32,409,851,782.29/253,680.51
  6. Step 6: Final answer
    x = 127,758.54

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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.