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Finding the Fourth Proportional to 245,176.50, 367,764.75 and 78,964.50

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Solution

The fourth proportional to 245,176.50, 367,764.75 and 78,964.50 is: 118,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,176.50 : 367,764.75 = 78,964.50 : x
  2. Step 2: Convert to fraction form
    245,176.50/367,764.75 = 78,964.50/x
  3. Step 3: Cross multiply
    245,176.50x = 367,764.75 × 78,964.50
  4. Step 4: Simplify right side
    245,176.50x = 29,040,359,601.38
  5. Step 5: Solve for x
    x = 29,040,359,601.38/245,176.50
  6. Step 6: Final answer
    x = 118,446.75

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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.