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Finding the Fourth Proportional to 254,012.70, 380,882.94 and 85,477.02

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Solution

The fourth proportional to 254,012.70, 380,882.94 and 85,477.02 is: 128,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,012.70 : 380,882.94 = 85,477.02 : x
  2. Step 2: Convert to fraction form
    254,012.70/380,882.94 = 85,477.02/x
  3. Step 3: Cross multiply
    254,012.70x = 380,882.94 × 85,477.02
  4. Step 4: Simplify right side
    254,012.70x = 32,556,738,680.04
  5. Step 5: Solve for x
    x = 32,556,738,680.04/254,012.70
  6. Step 6: Final answer
    x = 128,169.73

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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.