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Finding the Fourth Proportional to 101,970, 152,955 and 28,098

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Solution

The fourth proportional to 101,970, 152,955 and 28,098 is: 42,147

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970 : 152,955 = 28,098 : x
  2. Step 2: Convert to fraction form
    101,970/152,955 = 28,098/x
  3. Step 3: Cross multiply
    101,970x = 152,955 × 28,098
  4. Step 4: Simplify right side
    101,970x = 4,297,729,590
  5. Step 5: Solve for x
    x = 4,297,729,590/101,970
  6. Step 6: Final answer
    x = 42,147

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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.