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Finding the Fourth Proportional to 257,029.35, 385,268.22 and 107,156.67

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Solution

The fourth proportional to 257,029.35, 385,268.22 and 107,156.67 is: 160,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,029.35 : 385,268.22 = 107,156.67 : x
  2. Step 2: Convert to fraction form
    257,029.35/385,268.22 = 107,156.67/x
  3. Step 3: Cross multiply
    257,029.35x = 385,268.22 × 107,156.67
  4. Step 4: Simplify right side
    257,029.35x = 41,284,059,512.03
  5. Step 5: Solve for x
    x = 41,284,059,512.03/257,029.35
  6. Step 6: Final answer
    x = 160,620.02

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1.5x scale

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.