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Finding the Fourth Proportional to 100,685, 151,027.98 and 26,813

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Solution

The fourth proportional to 100,685, 151,027.98 and 26,813 is: 40,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,685 : 151,027.98 = 26,813 : x
  2. Step 2: Convert to fraction form
    100,685/151,027.98 = 26,813/x
  3. Step 3: Cross multiply
    100,685x = 151,027.98 × 26,813
  4. Step 4: Simplify right side
    100,685x = 4,049,513,227.74
  5. Step 5: Solve for x
    x = 4,049,513,227.74/100,685
  6. Step 6: Final answer
    x = 40,219.63

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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.