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Finding the Fourth Proportional to 255,365, 383,047.50 and 80,261

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Solution

The fourth proportional to 255,365, 383,047.50 and 80,261 is: 120,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,365 : 383,047.50 = 80,261 : x
  2. Step 2: Convert to fraction form
    255,365/383,047.50 = 80,261/x
  3. Step 3: Cross multiply
    255,365x = 383,047.50 × 80,261
  4. Step 4: Simplify right side
    255,365x = 30,743,775,397.50
  5. Step 5: Solve for x
    x = 30,743,775,397.50/255,365
  6. Step 6: Final answer
    x = 120,391.50

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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.