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Finding the Fourth Proportional to 70,915.98, 106,374.31 and 20,997.02

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Solution

The fourth proportional to 70,915.98, 106,374.31 and 20,997.02 is: 31,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,915.98 : 106,374.31 = 20,997.02 : x
  2. Step 2: Convert to fraction form
    70,915.98/106,374.31 = 20,997.02/x
  3. Step 3: Cross multiply
    70,915.98x = 106,374.31 × 20,997.02
  4. Step 4: Simplify right side
    70,915.98x = 2,233,543,846.11
  5. Step 5: Solve for x
    x = 2,233,543,846.11/70,915.98
  6. Step 6: Final answer
    x = 31,495.63

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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.