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Finding the Fourth Proportional to 45,501, 68,251.50 and 12,669

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Solution

The fourth proportional to 45,501, 68,251.50 and 12,669 is: 19,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,501 : 68,251.50 = 12,669 : x
  2. Step 2: Convert to fraction form
    45,501/68,251.50 = 12,669/x
  3. Step 3: Cross multiply
    45,501x = 68,251.50 × 12,669
  4. Step 4: Simplify right side
    45,501x = 864,678,253.50
  5. Step 5: Solve for x
    x = 864,678,253.50/45,501
  6. Step 6: Final answer
    x = 19,003.50

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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.