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Finding the Fourth Proportional to 248,712.64, 372,988.32 and 82,456

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Solution

The fourth proportional to 248,712.64, 372,988.32 and 82,456 is: 123,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,712.64 : 372,988.32 = 82,456 : x
  2. Step 2: Convert to fraction form
    248,712.64/372,988.32 = 82,456/x
  3. Step 3: Cross multiply
    248,712.64x = 372,988.32 × 82,456
  4. Step 4: Simplify right side
    248,712.64x = 30,755,124,913.92
  5. Step 5: Solve for x
    x = 30,755,124,913.92/248,712.64
  6. Step 6: Final answer
    x = 123,657.27

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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.