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Finding the Fourth Proportional to 248,713.64, 372,989.82 and 82,457

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Solution

The fourth proportional to 248,713.64, 372,989.82 and 82,457 is: 123,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,713.64 : 372,989.82 = 82,457 : x
  2. Step 2: Convert to fraction form
    248,713.64/372,989.82 = 82,457/x
  3. Step 3: Cross multiply
    248,713.64x = 372,989.82 × 82,457
  4. Step 4: Simplify right side
    248,713.64x = 30,755,621,587.74
  5. Step 5: Solve for x
    x = 30,755,621,587.74/248,713.64
  6. Step 6: Final answer
    x = 123,658.77

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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.