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Finding the Fourth Proportional to 208,999.98, 313,511.90 and 66,857.76

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Solution

The fourth proportional to 208,999.98, 313,511.90 and 66,857.76 is: 100,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.98 : 313,511.90 = 66,857.76 : x
  2. Step 2: Convert to fraction form
    208,999.98/313,511.90 = 66,857.76/x
  3. Step 3: Cross multiply
    208,999.98x = 313,511.90 × 66,857.76
  4. Step 4: Simplify right side
    208,999.98x = 20,960,703,033.06
  5. Step 5: Solve for x
    x = 20,960,703,033.06/208,999.98
  6. Step 6: Final answer
    x = 100,290.45

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1.5x scale

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.