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Finding the Fourth Proportional to 257,157.63, 385,798.01 and 107,314.56

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Solution

The fourth proportional to 257,157.63, 385,798.01 and 107,314.56 is: 160,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,157.63 : 385,798.01 = 107,314.56 : x
  2. Step 2: Convert to fraction form
    257,157.63/385,798.01 = 107,314.56/x
  3. Step 3: Cross multiply
    257,157.63x = 385,798.01 × 107,314.56
  4. Step 4: Simplify right side
    257,157.63x = 41,401,743,155.45
  5. Step 5: Solve for x
    x = 41,401,743,155.45/257,157.63
  6. Step 6: Final answer
    x = 160,997.53

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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.