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Finding the Fourth Proportional to 208,259.44, 312,178.81 and 81,988.28

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Solution

The fourth proportional to 208,259.44, 312,178.81 and 81,988.28 is: 122,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,259.44 : 312,178.81 = 81,988.28 : x
  2. Step 2: Convert to fraction form
    208,259.44/312,178.81 = 81,988.28/x
  3. Step 3: Cross multiply
    208,259.44x = 312,178.81 × 81,988.28
  4. Step 4: Simplify right side
    208,259.44x = 25,595,003,684.35
  5. Step 5: Solve for x
    x = 25,595,003,684.35/208,259.44
  6. Step 6: Final answer
    x = 122,899.61

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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.