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Finding the Fourth Proportional to 280,199.70, 420,408.90 and 102,724.65

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Solution

The fourth proportional to 280,199.70, 420,408.90 and 102,724.65 is: 154,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,199.70 : 420,408.90 = 102,724.65 : x
  2. Step 2: Convert to fraction form
    280,199.70/420,408.90 = 102,724.65/x
  3. Step 3: Cross multiply
    280,199.70x = 420,408.90 × 102,724.65
  4. Step 4: Simplify right side
    280,199.70x = 43,186,357,109.39
  5. Step 5: Solve for x
    x = 43,186,357,109.39/280,199.70
  6. Step 6: Final answer
    x = 154,127.06

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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.