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Finding the Fourth Proportional to 83,623.22, 115,403.54 and 47,813.22

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Solution

The fourth proportional to 83,623.22, 115,403.54 and 47,813.22 is: 65,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,623.22 : 115,403.54 = 47,813.22 : x
  2. Step 2: Convert to fraction form
    83,623.22/115,403.54 = 47,813.22/x
  3. Step 3: Cross multiply
    83,623.22x = 115,403.54 × 47,813.22
  4. Step 4: Simplify right side
    83,623.22x = 5,517,814,607.73
  5. Step 5: Solve for x
    x = 5,517,814,607.73/83,623.22
  6. Step 6: Final answer
    x = 65,984.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.