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Finding the Fourth Proportional to 138,857.50, 208,295.97 and 55,751.50

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Solution

The fourth proportional to 138,857.50, 208,295.97 and 55,751.50 is: 83,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,857.50 : 208,295.97 = 55,751.50 : x
  2. Step 2: Convert to fraction form
    138,857.50/208,295.97 = 55,751.50/x
  3. Step 3: Cross multiply
    138,857.50x = 208,295.97 × 55,751.50
  4. Step 4: Simplify right side
    138,857.50x = 11,612,812,771.46
  5. Step 5: Solve for x
    x = 11,612,812,771.46/138,857.50
  6. Step 6: Final answer
    x = 83,631.15

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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.