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Finding the Fourth Proportional to 281,700, 422,460.78 and 92,116.56

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Solution

The fourth proportional to 281,700, 422,460.78 and 92,116.56 is: 138,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,700 : 422,460.78 = 92,116.56 : x
  2. Step 2: Convert to fraction form
    281,700/422,460.78 = 92,116.56/x
  3. Step 3: Cross multiply
    281,700x = 422,460.78 × 92,116.56
  4. Step 4: Simplify right side
    281,700x = 38,915,633,788.52
  5. Step 5: Solve for x
    x = 38,915,633,788.52/281,700
  6. Step 6: Final answer
    x = 138,145.66

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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.