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Finding the Fourth Proportional to 71,203.80, 106,821.90 and 41,606.40

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Solution

The fourth proportional to 71,203.80, 106,821.90 and 41,606.40 is: 62,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.80 : 106,821.90 = 41,606.40 : x
  2. Step 2: Convert to fraction form
    71,203.80/106,821.90 = 41,606.40/x
  3. Step 3: Cross multiply
    71,203.80x = 106,821.90 × 41,606.40
  4. Step 4: Simplify right side
    71,203.80x = 4,444,474,700.16
  5. Step 5: Solve for x
    x = 4,444,474,700.16/71,203.80
  6. Step 6: Final answer
    x = 62,419.07

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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.