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Finding the Fourth Proportional to 198,492.32, 297,571.11 and 86,087.88

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Solution

The fourth proportional to 198,492.32, 297,571.11 and 86,087.88 is: 129,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,492.32 : 297,571.11 = 86,087.88 : x
  2. Step 2: Convert to fraction form
    198,492.32/297,571.11 = 86,087.88/x
  3. Step 3: Cross multiply
    198,492.32x = 297,571.11 × 86,087.88
  4. Step 4: Simplify right side
    198,492.32x = 25,617,264,521.29
  5. Step 5: Solve for x
    x = 25,617,264,521.29/198,492.32
  6. Step 6: Final answer
    x = 129,059.22

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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.