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Finding the Fourth Proportional to 138,883.88, 208,231.07 and 66,798.74

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Solution

The fourth proportional to 138,883.88, 208,231.07 and 66,798.74 is: 100,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,883.88 : 208,231.07 = 66,798.74 : x
  2. Step 2: Convert to fraction form
    138,883.88/208,231.07 = 66,798.74/x
  3. Step 3: Cross multiply
    138,883.88x = 208,231.07 × 66,798.74
  4. Step 4: Simplify right side
    138,883.88x = 13,909,573,291.44
  5. Step 5: Solve for x
    x = 13,909,573,291.44/138,883.88
  6. Step 6: Final answer
    x = 100,152.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.