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Finding the Fourth Proportional to 208,601.92, 312,946.44 and 68,349.52

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Solution

The fourth proportional to 208,601.92, 312,946.44 and 68,349.52 is: 102,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,601.92 : 312,946.44 = 68,349.52 : x
  2. Step 2: Convert to fraction form
    208,601.92/312,946.44 = 68,349.52/x
  3. Step 3: Cross multiply
    208,601.92x = 312,946.44 × 68,349.52
  4. Step 4: Simplify right side
    208,601.92x = 21,389,738,959.71
  5. Step 5: Solve for x
    x = 21,389,738,959.71/208,601.92
  6. Step 6: Final answer
    x = 102,538.55

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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.