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Finding the Fourth Proportional to 199,270.90, 298,698.72 and 86,920.93

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Solution

The fourth proportional to 199,270.90, 298,698.72 and 86,920.93 is: 130,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,270.90 : 298,698.72 = 86,920.93 : x
  2. Step 2: Convert to fraction form
    199,270.90/298,698.72 = 86,920.93/x
  3. Step 3: Cross multiply
    199,270.90x = 298,698.72 × 86,920.93
  4. Step 4: Simplify right side
    199,270.90x = 25,963,170,532.21
  5. Step 5: Solve for x
    x = 25,963,170,532.21/199,270.90
  6. Step 6: Final answer
    x = 130,290.83

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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.