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Finding the Fourth Proportional to 199,181.70, 298,825.74 and 86,870.97

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Solution

The fourth proportional to 199,181.70, 298,825.74 and 86,870.97 is: 130,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,181.70 : 298,825.74 = 86,870.97 : x
  2. Step 2: Convert to fraction form
    199,181.70/298,825.74 = 86,870.97/x
  3. Step 3: Cross multiply
    199,181.70x = 298,825.74 × 86,870.97
  4. Step 4: Simplify right side
    199,181.70x = 25,959,281,894.77
  5. Step 5: Solve for x
    x = 25,959,281,894.77/199,181.70
  6. Step 6: Final answer
    x = 130,329.65

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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.