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Finding the Fourth Proportional to 74,647.90, 103,012.32 and 42,814.77

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Solution

The fourth proportional to 74,647.90, 103,012.32 and 42,814.77 is: 59,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,647.90 : 103,012.32 = 42,814.77 : x
  2. Step 2: Convert to fraction form
    74,647.90/103,012.32 = 42,814.77/x
  3. Step 3: Cross multiply
    74,647.90x = 103,012.32 × 42,814.77
  4. Step 4: Simplify right side
    74,647.90x = 4,410,448,787.97
  5. Step 5: Solve for x
    x = 4,410,448,787.97/74,647.90
  6. Step 6: Final answer
    x = 59,083.36

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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.