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Finding the Fourth Proportional to 238,667.56, 357,982.48 and 138,764

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Solution

The fourth proportional to 238,667.56, 357,982.48 and 138,764 is: 208,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,667.56 : 357,982.48 = 138,764 : x
  2. Step 2: Convert to fraction form
    238,667.56/357,982.48 = 138,764/x
  3. Step 3: Cross multiply
    238,667.56x = 357,982.48 × 138,764
  4. Step 4: Simplify right side
    238,667.56x = 49,675,080,854.72
  5. Step 5: Solve for x
    x = 49,675,080,854.72/238,667.56
  6. Step 6: Final answer
    x = 208,135.03

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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.