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Finding the Fourth Proportional to 138,675.34, 207,980.88 and 38,842.57

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Solution

The fourth proportional to 138,675.34, 207,980.88 and 38,842.57 is: 58,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,675.34 : 207,980.88 = 38,842.57 : x
  2. Step 2: Convert to fraction form
    138,675.34/207,980.88 = 38,842.57/x
  3. Step 3: Cross multiply
    138,675.34x = 207,980.88 × 38,842.57
  4. Step 4: Simplify right side
    138,675.34x = 8,078,511,890.06
  5. Step 5: Solve for x
    x = 8,078,511,890.06/138,675.34
  6. Step 6: Final answer
    x = 58,254.86

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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.