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Finding the Fourth Proportional to 70,915.14, 106,340.04 and 20,977.38

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Solution

The fourth proportional to 70,915.14, 106,340.04 and 20,977.38 is: 31,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,915.14 : 106,340.04 = 20,977.38 : x
  2. Step 2: Convert to fraction form
    70,915.14/106,340.04 = 20,977.38/x
  3. Step 3: Cross multiply
    70,915.14x = 106,340.04 × 20,977.38
  4. Step 4: Simplify right side
    70,915.14x = 2,230,735,428.30
  5. Step 5: Solve for x
    x = 2,230,735,428.30/70,915.14
  6. Step 6: Final answer
    x = 31,456.41

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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.