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Finding the Fourth Proportional to 257,097.85, 385,583.85 and 107,339.38

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Solution

The fourth proportional to 257,097.85, 385,583.85 and 107,339.38 is: 160,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,097.85 : 385,583.85 = 107,339.38 : x
  2. Step 2: Convert to fraction form
    257,097.85/385,583.85 = 107,339.38/x
  3. Step 3: Cross multiply
    257,097.85x = 385,583.85 × 107,339.38
  4. Step 4: Simplify right side
    257,097.85x = 41,388,331,397.01
  5. Step 5: Solve for x
    x = 41,388,331,397.01/257,097.85
  6. Step 6: Final answer
    x = 160,982.80

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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.