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Finding the Fourth Proportional to 280,889.21, 421,271.03 and 81,165.08

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Solution

The fourth proportional to 280,889.21, 421,271.03 and 81,165.08 is: 121,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,889.21 : 421,271.03 = 81,165.08 : x
  2. Step 2: Convert to fraction form
    280,889.21/421,271.03 = 81,165.08/x
  3. Step 3: Cross multiply
    280,889.21x = 421,271.03 × 81,165.08
  4. Step 4: Simplify right side
    280,889.21x = 34,192,494,948.19
  5. Step 5: Solve for x
    x = 34,192,494,948.19/280,889.21
  6. Step 6: Final answer
    x = 121,729.47

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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.