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Finding the Fourth Proportional to 70,900.25, 106,367.35 and 20,299.98

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Solution

The fourth proportional to 70,900.25, 106,367.35 and 20,299.98 is: 30,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,900.25 : 106,367.35 = 20,299.98 : x
  2. Step 2: Convert to fraction form
    70,900.25/106,367.35 = 20,299.98/x
  3. Step 3: Cross multiply
    70,900.25x = 106,367.35 × 20,299.98
  4. Step 4: Simplify right side
    70,900.25x = 2,159,255,026.90
  5. Step 5: Solve for x
    x = 2,159,255,026.90/70,900.25
  6. Step 6: Final answer
    x = 30,454.83

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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.