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Finding the Fourth Proportional to 251,644, 347,271.16 and 138,469.18

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Solution

The fourth proportional to 251,644, 347,271.16 and 138,469.18 is: 191,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,644 : 347,271.16 = 138,469.18 : x
  2. Step 2: Convert to fraction form
    251,644/347,271.16 = 138,469.18/x
  3. Step 3: Cross multiply
    251,644x = 347,271.16 × 138,469.18
  4. Step 4: Simplify right side
    251,644x = 48,086,352,762.85
  5. Step 5: Solve for x
    x = 48,086,352,762.85/251,644
  6. Step 6: Final answer
    x = 191,088.81

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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.