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Finding the Fourth Proportional to 102,641.58, 154,751.94 and 100,804.50

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Solution

The fourth proportional to 102,641.58, 154,751.94 and 100,804.50 is: 151,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,641.58 : 154,751.94 = 100,804.50 : x
  2. Step 2: Convert to fraction form
    102,641.58/154,751.94 = 100,804.50/x
  3. Step 3: Cross multiply
    102,641.58x = 154,751.94 × 100,804.50
  4. Step 4: Simplify right side
    102,641.58x = 15,599,691,935.73
  5. Step 5: Solve for x
    x = 15,599,691,935.73/102,641.58
  6. Step 6: Final answer
    x = 151,982.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.