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Finding the Fourth Proportional to 189,363.84, 283,758.38 and 139,205

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Solution

The fourth proportional to 189,363.84, 283,758.38 and 139,205 is: 208,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,363.84 : 283,758.38 = 139,205 : x
  2. Step 2: Convert to fraction form
    189,363.84/283,758.38 = 139,205/x
  3. Step 3: Cross multiply
    189,363.84x = 283,758.38 × 139,205
  4. Step 4: Simplify right side
    189,363.84x = 39,500,585,287.90
  5. Step 5: Solve for x
    x = 39,500,585,287.90/189,363.84
  6. Step 6: Final answer
    x = 208,596.24

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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.