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Finding the Fourth Proportional to 257,186.05, 385,797.60 and 88,704

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Solution

The fourth proportional to 257,186.05, 385,797.60 and 88,704 is: 133,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,186.05 : 385,797.60 = 88,704 : x
  2. Step 2: Convert to fraction form
    257,186.05/385,797.60 = 88,704/x
  3. Step 3: Cross multiply
    257,186.05x = 385,797.60 × 88,704
  4. Step 4: Simplify right side
    257,186.05x = 34,221,790,310.40
  5. Step 5: Solve for x
    x = 34,221,790,310.40/257,186.05
  6. Step 6: Final answer
    x = 133,062.39

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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.