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Finding the Fourth Proportional to 78,447.52, 108,257.07 and 44,920

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Solution

The fourth proportional to 78,447.52, 108,257.07 and 44,920 is: 61,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,447.52 : 108,257.07 = 44,920 : x
  2. Step 2: Convert to fraction form
    78,447.52/108,257.07 = 44,920/x
  3. Step 3: Cross multiply
    78,447.52x = 108,257.07 × 44,920
  4. Step 4: Simplify right side
    78,447.52x = 4,862,907,584.40
  5. Step 5: Solve for x
    x = 4,862,907,584.40/78,447.52
  6. Step 6: Final answer
    x = 61,989.31

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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.