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Finding the Fourth Proportional to 138,642.35, 206,798.67 and 125,871.44

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Solution

The fourth proportional to 138,642.35, 206,798.67 and 125,871.44 is: 187,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642.35 : 206,798.67 = 125,871.44 : x
  2. Step 2: Convert to fraction form
    138,642.35/206,798.67 = 125,871.44/x
  3. Step 3: Cross multiply
    138,642.35x = 206,798.67 × 125,871.44
  4. Step 4: Simplify right side
    138,642.35x = 26,030,045,348.99
  5. Step 5: Solve for x
    x = 26,030,045,348.99/138,642.35
  6. Step 6: Final answer
    x = 187,749.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.