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Finding the Fourth Proportional to 252,111.25, 347,913.53 and 138,934

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Solution

The fourth proportional to 252,111.25, 347,913.53 and 138,934 is: 191,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,111.25 : 347,913.53 = 138,934 : x
  2. Step 2: Convert to fraction form
    252,111.25/347,913.53 = 138,934/x
  3. Step 3: Cross multiply
    252,111.25x = 347,913.53 × 138,934
  4. Step 4: Simplify right side
    252,111.25x = 48,337,017,682.35
  5. Step 5: Solve for x
    x = 48,337,017,682.35/252,111.25
  6. Step 6: Final answer
    x = 191,728.92

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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.