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Finding the Fourth Proportional to 253,826.40, 380,739.60 and 66,856.80

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Solution

The fourth proportional to 253,826.40, 380,739.60 and 66,856.80 is: 100,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,826.40 : 380,739.60 = 66,856.80 : x
  2. Step 2: Convert to fraction form
    253,826.40/380,739.60 = 66,856.80/x
  3. Step 3: Cross multiply
    253,826.40x = 380,739.60 × 66,856.80
  4. Step 4: Simplify right side
    253,826.40x = 25,455,031,289.28
  5. Step 5: Solve for x
    x = 25,455,031,289.28/253,826.40
  6. Step 6: Final answer
    x = 100,285.20

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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.