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Finding the Fourth Proportional to 70,146.60, 105,234.62 and 20,226.60

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Solution

The fourth proportional to 70,146.60, 105,234.62 and 20,226.60 is: 30,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,146.60 : 105,234.62 = 20,226.60 : x
  2. Step 2: Convert to fraction form
    70,146.60/105,234.62 = 20,226.60/x
  3. Step 3: Cross multiply
    70,146.60x = 105,234.62 × 20,226.60
  4. Step 4: Simplify right side
    70,146.60x = 2,128,538,564.89
  5. Step 5: Solve for x
    x = 2,128,538,564.89/70,146.60
  6. Step 6: Final answer
    x = 30,344.14

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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.