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Finding the Fourth Proportional to 245,142.93, 367,503.80 and 85,198.08

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Solution

The fourth proportional to 245,142.93, 367,503.80 and 85,198.08 is: 127,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,142.93 : 367,503.80 = 85,198.08 : x
  2. Step 2: Convert to fraction form
    245,142.93/367,503.80 = 85,198.08/x
  3. Step 3: Cross multiply
    245,142.93x = 367,503.80 × 85,198.08
  4. Step 4: Simplify right side
    245,142.93x = 31,310,619,104.85
  5. Step 5: Solve for x
    x = 31,310,619,104.85/245,142.93
  6. Step 6: Final answer
    x = 127,723.93

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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.