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Finding the Fourth Proportional to 143,978.50, 198,712.20 and 87,378.94

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Solution

The fourth proportional to 143,978.50, 198,712.20 and 87,378.94 is: 120,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,978.50 : 198,712.20 = 87,378.94 : x
  2. Step 2: Convert to fraction form
    143,978.50/198,712.20 = 87,378.94/x
  3. Step 3: Cross multiply
    143,978.50x = 198,712.20 × 87,378.94
  4. Step 4: Simplify right side
    143,978.50x = 17,363,261,401.07
  5. Step 5: Solve for x
    x = 17,363,261,401.07/143,978.50
  6. Step 6: Final answer
    x = 120,596.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.