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Finding the Fourth Proportional to 70,098.44, 105,131.94 and 20,167.40

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Solution

The fourth proportional to 70,098.44, 105,131.94 and 20,167.40 is: 30,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.44 : 105,131.94 = 20,167.40 : x
  2. Step 2: Convert to fraction form
    70,098.44/105,131.94 = 20,167.40/x
  3. Step 3: Cross multiply
    70,098.44x = 105,131.94 × 20,167.40
  4. Step 4: Simplify right side
    70,098.44x = 2,120,237,886.76
  5. Step 5: Solve for x
    x = 2,120,237,886.76/70,098.44
  6. Step 6: Final answer
    x = 30,246.58

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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.