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Finding the Fourth Proportional to 40,330, 55,655.40 and 22,666

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Solution

The fourth proportional to 40,330, 55,655.40 and 22,666 is: 31,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,330 : 55,655.40 = 22,666 : x
  2. Step 2: Convert to fraction form
    40,330/55,655.40 = 22,666/x
  3. Step 3: Cross multiply
    40,330x = 55,655.40 × 22,666
  4. Step 4: Simplify right side
    40,330x = 1,261,485,296.40
  5. Step 5: Solve for x
    x = 1,261,485,296.40/40,330
  6. Step 6: Final answer
    x = 31,279.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.