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Finding the Fourth Proportional to 204,393.60, 282,068.64 and 123,804

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Solution

The fourth proportional to 204,393.60, 282,068.64 and 123,804 is: 170,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,393.60 : 282,068.64 = 123,804 : x
  2. Step 2: Convert to fraction form
    204,393.60/282,068.64 = 123,804/x
  3. Step 3: Cross multiply
    204,393.60x = 282,068.64 × 123,804
  4. Step 4: Simplify right side
    204,393.60x = 34,921,225,906.56
  5. Step 5: Solve for x
    x = 34,921,225,906.56/204,393.60
  6. Step 6: Final answer
    x = 170,852.83

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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.