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Finding the Fourth Proportional to 71,318.34, 106,940.30 and 38,029.37

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Solution

The fourth proportional to 71,318.34, 106,940.30 and 38,029.37 is: 57,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,318.34 : 106,940.30 = 38,029.37 : x
  2. Step 2: Convert to fraction form
    71,318.34/106,940.30 = 38,029.37/x
  3. Step 3: Cross multiply
    71,318.34x = 106,940.30 × 38,029.37
  4. Step 4: Simplify right side
    71,318.34x = 4,066,871,511.76
  5. Step 5: Solve for x
    x = 4,066,871,511.76/71,318.34
  6. Step 6: Final answer
    x = 57,024.20

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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.