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Finding the Fourth Proportional to 68,143.81, 102,208.52 and 18,228.94

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Solution

The fourth proportional to 68,143.81, 102,208.52 and 18,228.94 is: 27,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,143.81 : 102,208.52 = 18,228.94 : x
  2. Step 2: Convert to fraction form
    68,143.81/102,208.52 = 18,228.94/x
  3. Step 3: Cross multiply
    68,143.81x = 102,208.52 × 18,228.94
  4. Step 4: Simplify right side
    68,143.81x = 1,863,152,887.42
  5. Step 5: Solve for x
    x = 1,863,152,887.42/68,143.81
  6. Step 6: Final answer
    x = 27,341.49

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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.