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Finding the Fourth Proportional to 74,046, 102,185.94 and 40,512

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Solution

The fourth proportional to 74,046, 102,185.94 and 40,512 is: 55,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046 : 102,185.94 = 40,512 : x
  2. Step 2: Convert to fraction form
    74,046/102,185.94 = 40,512/x
  3. Step 3: Cross multiply
    74,046x = 102,185.94 × 40,512
  4. Step 4: Simplify right side
    74,046x = 4,139,756,801.28
  5. Step 5: Solve for x
    x = 4,139,756,801.28/74,046
  6. Step 6: Final answer
    x = 55,907.91

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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.