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Finding the Fourth Proportional to 281,113.44, 421,714 and 91,529.04

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Solution

The fourth proportional to 281,113.44, 421,714 and 91,529.04 is: 137,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,113.44 : 421,714 = 91,529.04 : x
  2. Step 2: Convert to fraction form
    281,113.44/421,714 = 91,529.04/x
  3. Step 3: Cross multiply
    281,113.44x = 421,714 × 91,529.04
  4. Step 4: Simplify right side
    281,113.44x = 38,599,077,574.56
  5. Step 5: Solve for x
    x = 38,599,077,574.56/281,113.44
  6. Step 6: Final answer
    x = 137,307.83

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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.