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Finding the Fourth Proportional to 70,243.20, 105,334.08 and 20,983.68

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Solution

The fourth proportional to 70,243.20, 105,334.08 and 20,983.68 is: 31,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,243.20 : 105,334.08 = 20,983.68 : x
  2. Step 2: Convert to fraction form
    70,243.20/105,334.08 = 20,983.68/x
  3. Step 3: Cross multiply
    70,243.20x = 105,334.08 × 20,983.68
  4. Step 4: Simplify right side
    70,243.20x = 2,210,296,627.81
  5. Step 5: Solve for x
    x = 2,210,296,627.81/70,243.20
  6. Step 6: Final answer
    x = 31,466.34

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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.