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Finding the Fourth Proportional to 281,208.42, 421,856.60 and 91,624.76

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Solution

The fourth proportional to 281,208.42, 421,856.60 and 91,624.76 is: 137,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,208.42 : 421,856.60 = 91,624.76 : x
  2. Step 2: Convert to fraction form
    281,208.42/421,856.60 = 91,624.76/x
  3. Step 3: Cross multiply
    281,208.42x = 421,856.60 × 91,624.76
  4. Step 4: Simplify right side
    281,208.42x = 38,652,509,729.42
  5. Step 5: Solve for x
    x = 38,652,509,729.42/281,208.42
  6. Step 6: Final answer
    x = 137,451.47

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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.