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Finding the Fourth Proportional to 80,307.96, 110,877 and 51,640.50

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Solution

The fourth proportional to 80,307.96, 110,877 and 51,640.50 is: 71,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,307.96 : 110,877 = 51,640.50 : x
  2. Step 2: Convert to fraction form
    80,307.96/110,877 = 51,640.50/x
  3. Step 3: Cross multiply
    80,307.96x = 110,877 × 51,640.50
  4. Step 4: Simplify right side
    80,307.96x = 5,725,743,718.50
  5. Step 5: Solve for x
    x = 5,725,743,718.50/80,307.96
  6. Step 6: Final answer
    x = 71,297.34

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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.