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Finding the Fourth Proportional to 138,890.43, 208,412.87 and 67,813.94

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Solution

The fourth proportional to 138,890.43, 208,412.87 and 67,813.94 is: 101,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,890.43 : 208,412.87 = 67,813.94 : x
  2. Step 2: Convert to fraction form
    138,890.43/208,412.87 = 67,813.94/x
  3. Step 3: Cross multiply
    138,890.43x = 208,412.87 × 67,813.94
  4. Step 4: Simplify right side
    138,890.43x = 14,133,298,043.37
  5. Step 5: Solve for x
    x = 14,133,298,043.37/138,890.43
  6. Step 6: Final answer
    x = 101,758.62

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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.