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Finding the Fourth Proportional to 74,077, 102,226.28 and 40,543

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Solution

The fourth proportional to 74,077, 102,226.28 and 40,543 is: 55,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,077 : 102,226.28 = 40,543 : x
  2. Step 2: Convert to fraction form
    74,077/102,226.28 = 40,543/x
  3. Step 3: Cross multiply
    74,077x = 102,226.28 × 40,543
  4. Step 4: Simplify right side
    74,077x = 4,144,560,070.04
  5. Step 5: Solve for x
    x = 4,144,560,070.04/74,077
  6. Step 6: Final answer
    x = 55,949.35

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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.