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Finding the Fourth Proportional to 68,302.77, 102,454.15 and 18,382.98

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Solution

The fourth proportional to 68,302.77, 102,454.15 and 18,382.98 is: 27,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,302.77 : 102,454.15 = 18,382.98 : x
  2. Step 2: Convert to fraction form
    68,302.77/102,454.15 = 18,382.98/x
  3. Step 3: Cross multiply
    68,302.77x = 102,454.15 × 18,382.98
  4. Step 4: Simplify right side
    68,302.77x = 1,883,412,590.37
  5. Step 5: Solve for x
    x = 1,883,412,590.37/68,302.77
  6. Step 6: Final answer
    x = 27,574.47

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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.