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Finding the Fourth Proportional to 281,147.76, 421,624.44 and 91,559.16

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Solution

The fourth proportional to 281,147.76, 421,624.44 and 91,559.16 is: 137,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,147.76 : 421,624.44 = 91,559.16 : x
  2. Step 2: Convert to fraction form
    281,147.76/421,624.44 = 91,559.16/x
  3. Step 3: Cross multiply
    281,147.76x = 421,624.44 × 91,559.16
  4. Step 4: Simplify right side
    281,147.76x = 38,603,579,561.87
  5. Step 5: Solve for x
    x = 38,603,579,561.87/281,147.76
  6. Step 6: Final answer
    x = 137,307.09

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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.