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Finding the Fourth Proportional to 280,266.90, 420,145.20 and 102,731.10

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Solution

The fourth proportional to 280,266.90, 420,145.20 and 102,731.10 is: 154,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,266.90 : 420,145.20 = 102,731.10 : x
  2. Step 2: Convert to fraction form
    280,266.90/420,145.20 = 102,731.10/x
  3. Step 3: Cross multiply
    280,266.90x = 420,145.20 × 102,731.10
  4. Step 4: Simplify right side
    280,266.90x = 43,161,978,555.72
  5. Step 5: Solve for x
    x = 43,161,978,555.72/280,266.90
  6. Step 6: Final answer
    x = 154,003.13

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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.