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Finding the Fourth Proportional to 81,958.50, 122,957.19 and 26,554.50

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Solution

The fourth proportional to 81,958.50, 122,957.19 and 26,554.50 is: 39,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958.50 : 122,957.19 = 26,554.50 : x
  2. Step 2: Convert to fraction form
    81,958.50/122,957.19 = 26,554.50/x
  3. Step 3: Cross multiply
    81,958.50x = 122,957.19 × 26,554.50
  4. Step 4: Simplify right side
    81,958.50x = 3,265,066,701.86
  5. Step 5: Solve for x
    x = 3,265,066,701.86/81,958.50
  6. Step 6: Final answer
    x = 39,838.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.