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Finding the Fourth Proportional to 102,506.94, 153,804.80 and 55,066.68

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Solution

The fourth proportional to 102,506.94, 153,804.80 and 55,066.68 is: 82,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.94 : 153,804.80 = 55,066.68 : x
  2. Step 2: Convert to fraction form
    102,506.94/153,804.80 = 55,066.68/x
  3. Step 3: Cross multiply
    102,506.94x = 153,804.80 × 55,066.68
  4. Step 4: Simplify right side
    102,506.94x = 8,469,519,841.73
  5. Step 5: Solve for x
    x = 8,469,519,841.73/102,506.94
  6. Step 6: Final answer
    x = 82,623.87

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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.