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Finding the Fourth Proportional to 252,049.24, 347,828 and 138,871

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Solution

The fourth proportional to 252,049.24, 347,828 and 138,871 is: 191,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,049.24 : 347,828 = 138,871 : x
  2. Step 2: Convert to fraction form
    252,049.24/347,828 = 138,871/x
  3. Step 3: Cross multiply
    252,049.24x = 347,828 × 138,871
  4. Step 4: Simplify right side
    252,049.24x = 48,303,222,188
  5. Step 5: Solve for x
    x = 48,303,222,188/252,049.24
  6. Step 6: Final answer
    x = 191,642.01

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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.