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Finding the Fourth Proportional to 74,625.85, 102,978.46 and 42,361.12

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Solution

The fourth proportional to 74,625.85, 102,978.46 and 42,361.12 is: 58,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,625.85 : 102,978.46 = 42,361.12 : x
  2. Step 2: Convert to fraction form
    74,625.85/102,978.46 = 42,361.12/x
  3. Step 3: Cross multiply
    74,625.85x = 102,978.46 × 42,361.12
  4. Step 4: Simplify right side
    74,625.85x = 4,362,282,696.98
  5. Step 5: Solve for x
    x = 4,362,282,696.98/74,625.85
  6. Step 6: Final answer
    x = 58,455.39

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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.