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Finding the Fourth Proportional to 113,778, 170,667 and 30,672

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Solution

The fourth proportional to 113,778, 170,667 and 30,672 is: 46,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,778 : 170,667 = 30,672 : x
  2. Step 2: Convert to fraction form
    113,778/170,667 = 30,672/x
  3. Step 3: Cross multiply
    113,778x = 170,667 × 30,672
  4. Step 4: Simplify right side
    113,778x = 5,234,698,224
  5. Step 5: Solve for x
    x = 5,234,698,224/113,778
  6. Step 6: Final answer
    x = 46,008

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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.