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Finding the Fourth Proportional to 158,770, 238,155 and 47,962

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Solution

The fourth proportional to 158,770, 238,155 and 47,962 is: 71,943

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,770 : 238,155 = 47,962 : x
  2. Step 2: Convert to fraction form
    158,770/238,155 = 47,962/x
  3. Step 3: Cross multiply
    158,770x = 238,155 × 47,962
  4. Step 4: Simplify right side
    158,770x = 11,422,390,110
  5. Step 5: Solve for x
    x = 11,422,390,110/158,770
  6. Step 6: Final answer
    x = 71,943

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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.