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Finding the Fourth Proportional to 68,102.46, 102,238.74 and 46,013.76

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Solution

The fourth proportional to 68,102.46, 102,238.74 and 46,013.76 is: 69,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102.46 : 102,238.74 = 46,013.76 : x
  2. Step 2: Convert to fraction form
    68,102.46/102,238.74 = 46,013.76/x
  3. Step 3: Cross multiply
    68,102.46x = 102,238.74 × 46,013.76
  4. Step 4: Simplify right side
    68,102.46x = 4,704,388,845.06
  5. Step 5: Solve for x
    x = 4,704,388,845.06/68,102.46
  6. Step 6: Final answer
    x = 69,078.10

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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.