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Finding the Fourth Proportional to 81,608.40, 122,315.40 and 34,223.40

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Solution

The fourth proportional to 81,608.40, 122,315.40 and 34,223.40 is: 51,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,608.40 : 122,315.40 = 34,223.40 : x
  2. Step 2: Convert to fraction form
    81,608.40/122,315.40 = 34,223.40/x
  3. Step 3: Cross multiply
    81,608.40x = 122,315.40 × 34,223.40
  4. Step 4: Simplify right side
    81,608.40x = 4,186,048,860.36
  5. Step 5: Solve for x
    x = 4,186,048,860.36/81,608.40
  6. Step 6: Final answer
    x = 51,294.34

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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.