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Finding the Fourth Proportional to 199,071.76, 298,510.44 and 86,846.80

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Solution

The fourth proportional to 199,071.76, 298,510.44 and 86,846.80 is: 130,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,071.76 : 298,510.44 = 86,846.80 : x
  2. Step 2: Convert to fraction form
    199,071.76/298,510.44 = 86,846.80/x
  3. Step 3: Cross multiply
    199,071.76x = 298,510.44 × 86,846.80
  4. Step 4: Simplify right side
    199,071.76x = 25,924,676,480.59
  5. Step 5: Solve for x
    x = 25,924,676,480.59/199,071.76
  6. Step 6: Final answer
    x = 130,227.80

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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.