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Finding the Fourth Proportional to 245,102.50, 367,653.75 and 78,890.50

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Solution

The fourth proportional to 245,102.50, 367,653.75 and 78,890.50 is: 118,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,102.50 : 367,653.75 = 78,890.50 : x
  2. Step 2: Convert to fraction form
    245,102.50/367,653.75 = 78,890.50/x
  3. Step 3: Cross multiply
    245,102.50x = 367,653.75 × 78,890.50
  4. Step 4: Simplify right side
    245,102.50x = 29,004,388,164.38
  5. Step 5: Solve for x
    x = 29,004,388,164.38/245,102.50
  6. Step 6: Final answer
    x = 118,335.75

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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.