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Finding the Fourth Proportional to 74,179.66, 102,367.79 and 40,189.00

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Solution

The fourth proportional to 74,179.66, 102,367.79 and 40,189.00 is: 55,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,179.66 : 102,367.79 = 40,189.00 : x
  2. Step 2: Convert to fraction form
    74,179.66/102,367.79 = 40,189.00/x
  3. Step 3: Cross multiply
    74,179.66x = 102,367.79 × 40,189.00
  4. Step 4: Simplify right side
    74,179.66x = 4,114,058,797.62
  5. Step 5: Solve for x
    x = 4,114,058,797.62/74,179.66
  6. Step 6: Final answer
    x = 55,460.74

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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.