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Finding the Fourth Proportional to 205,287.84, 283,281.12 and 114,636.78

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Solution

The fourth proportional to 205,287.84, 283,281.12 and 114,636.78 is: 158,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,287.84 : 283,281.12 = 114,636.78 : x
  2. Step 2: Convert to fraction form
    205,287.84/283,281.12 = 114,636.78/x
  3. Step 3: Cross multiply
    205,287.84x = 283,281.12 × 114,636.78
  4. Step 4: Simplify right side
    205,287.84x = 32,474,435,431.59
  5. Step 5: Solve for x
    x = 32,474,435,431.59/205,287.84
  6. Step 6: Final answer
    x = 158,189.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.