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Finding the Fourth Proportional to 68,154.86, 102,276 and 33,075.38

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Solution

The fourth proportional to 68,154.86, 102,276 and 33,075.38 is: 49,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,154.86 : 102,276 = 33,075.38 : x
  2. Step 2: Convert to fraction form
    68,154.86/102,276 = 33,075.38/x
  3. Step 3: Cross multiply
    68,154.86x = 102,276 × 33,075.38
  4. Step 4: Simplify right side
    68,154.86x = 3,382,817,053.50
  5. Step 5: Solve for x
    x = 3,382,817,053.50/68,154.86
  6. Step 6: Final answer
    x = 49,634.28

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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.