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Finding the Fourth Proportional to 281,113.82, 421,714.56 and 91,529.42

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Solution

The fourth proportional to 281,113.82, 421,714.56 and 91,529.42 is: 137,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,113.82 : 421,714.56 = 91,529.42 : x
  2. Step 2: Convert to fraction form
    281,113.82/421,714.56 = 91,529.42/x
  3. Step 3: Cross multiply
    281,113.82x = 421,714.56 × 91,529.42
  4. Step 4: Simplify right side
    281,113.82x = 38,599,289,082.36
  5. Step 5: Solve for x
    x = 38,599,289,082.36/281,113.82
  6. Step 6: Final answer
    x = 137,308.40

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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.