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Finding the Fourth Proportional to 70,131.72, 105,203.02 and 23,384.54

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Solution

The fourth proportional to 70,131.72, 105,203.02 and 23,384.54 is: 35,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,131.72 : 105,203.02 = 23,384.54 : x
  2. Step 2: Convert to fraction form
    70,131.72/105,203.02 = 23,384.54/x
  3. Step 3: Cross multiply
    70,131.72x = 105,203.02 × 23,384.54
  4. Step 4: Simplify right side
    70,131.72x = 2,460,124,229.31
  5. Step 5: Solve for x
    x = 2,460,124,229.31/70,131.72
  6. Step 6: Final answer
    x = 35,078.62

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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.