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Finding the Fourth Proportional to 251,042, 346,468.68 and 145,058

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Solution

The fourth proportional to 251,042, 346,468.68 and 145,058 is: 200,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,042 : 346,468.68 = 145,058 : x
  2. Step 2: Convert to fraction form
    251,042/346,468.68 = 145,058/x
  3. Step 3: Cross multiply
    251,042x = 346,468.68 × 145,058
  4. Step 4: Simplify right side
    251,042x = 50,258,053,783.44
  5. Step 5: Solve for x
    x = 50,258,053,783.44/251,042
  6. Step 6: Final answer
    x = 200,197.79

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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.