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Finding the Fourth Proportional to 257,213.56, 385,871.58 and 79,775.08

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Solution

The fourth proportional to 257,213.56, 385,871.58 and 79,775.08 is: 119,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,213.56 : 385,871.58 = 79,775.08 : x
  2. Step 2: Convert to fraction form
    257,213.56/385,871.58 = 79,775.08/x
  3. Step 3: Cross multiply
    257,213.56x = 385,871.58 × 79,775.08
  4. Step 4: Simplify right side
    257,213.56x = 30,782,936,164.23
  5. Step 5: Solve for x
    x = 30,782,936,164.23/257,213.56
  6. Step 6: Final answer
    x = 119,678.51

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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.