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Finding the Fourth Proportional to 254,762.41, 382,144.54 and 77,270.97

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Solution

The fourth proportional to 254,762.41, 382,144.54 and 77,270.97 is: 115,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,762.41 : 382,144.54 = 77,270.97 : x
  2. Step 2: Convert to fraction form
    254,762.41/382,144.54 = 77,270.97/x
  3. Step 3: Cross multiply
    254,762.41x = 382,144.54 × 77,270.97
  4. Step 4: Simplify right side
    254,762.41x = 29,528,678,899.65
  5. Step 5: Solve for x
    x = 29,528,678,899.65/254,762.41
  6. Step 6: Final answer
    x = 115,906.73

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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.