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Finding the Fourth Proportional to 255,262.63, 382,893.84 and 105,338.11

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Solution

The fourth proportional to 255,262.63, 382,893.84 and 105,338.11 is: 158,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,262.63 : 382,893.84 = 105,338.11 : x
  2. Step 2: Convert to fraction form
    255,262.63/382,893.84 = 105,338.11/x
  3. Step 3: Cross multiply
    255,262.63x = 382,893.84 × 105,338.11
  4. Step 4: Simplify right side
    255,262.63x = 40,333,313,436.24
  5. Step 5: Solve for x
    x = 40,333,313,436.24/255,262.63
  6. Step 6: Final answer
    x = 158,007.12

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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.