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Finding the Fourth Proportional to 199,378.86, 298,980.80 and 74,632.38

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Solution

The fourth proportional to 199,378.86, 298,980.80 and 74,632.38 is: 111,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,378.86 : 298,980.80 = 74,632.38 : x
  2. Step 2: Convert to fraction form
    199,378.86/298,980.80 = 74,632.38/x
  3. Step 3: Cross multiply
    199,378.86x = 298,980.80 × 74,632.38
  4. Step 4: Simplify right side
    199,378.86x = 22,313,648,678.30
  5. Step 5: Solve for x
    x = 22,313,648,678.30/199,378.86
  6. Step 6: Final answer
    x = 111,915.82

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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.