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Finding the Fourth Proportional to 70,970.06, 106,242.42 and 68,446.58

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Solution

The fourth proportional to 70,970.06, 106,242.42 and 68,446.58 is: 102,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.06 : 106,242.42 = 68,446.58 : x
  2. Step 2: Convert to fraction form
    70,970.06/106,242.42 = 68,446.58/x
  3. Step 3: Cross multiply
    70,970.06x = 106,242.42 × 68,446.58
  4. Step 4: Simplify right side
    70,970.06x = 7,271,930,299.92
  5. Step 5: Solve for x
    x = 7,271,930,299.92/70,970.06
  6. Step 6: Final answer
    x = 102,464.76

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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.