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Finding the Fourth Proportional to 70,940.34, 106,426.08 and 21,024.36

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Solution

The fourth proportional to 70,940.34, 106,426.08 and 21,024.36 is: 31,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.34 : 106,426.08 = 21,024.36 : x
  2. Step 2: Convert to fraction form
    70,940.34/106,426.08 = 21,024.36/x
  3. Step 3: Cross multiply
    70,940.34x = 106,426.08 × 21,024.36
  4. Step 4: Simplify right side
    70,940.34x = 2,237,540,219.31
  5. Step 5: Solve for x
    x = 2,237,540,219.31/70,940.34
  6. Step 6: Final answer
    x = 31,541.15

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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.