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Finding the Fourth Proportional to 198,510.84, 297,598.81 and 86,106.44

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Solution

The fourth proportional to 198,510.84, 297,598.81 and 86,106.44 is: 129,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,510.84 : 297,598.81 = 86,106.44 : x
  2. Step 2: Convert to fraction form
    198,510.84/297,598.81 = 86,106.44/x
  3. Step 3: Cross multiply
    198,510.84x = 297,598.81 × 86,106.44
  4. Step 4: Simplify right side
    198,510.84x = 25,625,174,077.34
  5. Step 5: Solve for x
    x = 25,625,174,077.34/198,510.84
  6. Step 6: Final answer
    x = 129,087.03

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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.