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Finding the Fourth Proportional to 198,554.76, 297,664.56 and 86,150.34

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Solution

The fourth proportional to 198,554.76, 297,664.56 and 86,150.34 is: 129,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,554.76 : 297,664.56 = 86,150.34 : x
  2. Step 2: Convert to fraction form
    198,554.76/297,664.56 = 86,150.34/x
  3. Step 3: Cross multiply
    198,554.76x = 297,664.56 × 86,150.34
  4. Step 4: Simplify right side
    198,554.76x = 25,643,903,049.95
  5. Step 5: Solve for x
    x = 25,643,903,049.95/198,554.76
  6. Step 6: Final answer
    x = 129,152.80

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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.