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Finding the Fourth Proportional to 238,930.32, 329,670.90 and 138,270

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Solution

The fourth proportional to 238,930.32, 329,670.90 and 138,270 is: 190,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,930.32 : 329,670.90 = 138,270 : x
  2. Step 2: Convert to fraction form
    238,930.32/329,670.90 = 138,270/x
  3. Step 3: Cross multiply
    238,930.32x = 329,670.90 × 138,270
  4. Step 4: Simplify right side
    238,930.32x = 45,583,595,343
  5. Step 5: Solve for x
    x = 45,583,595,343/238,930.32
  6. Step 6: Final answer
    x = 190,781.96

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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.