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Finding the Fourth Proportional to 208,009.92, 311,732.14 and 87,967.08

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Solution

The fourth proportional to 208,009.92, 311,732.14 and 87,967.08 is: 131,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,009.92 : 311,732.14 = 87,967.08 : x
  2. Step 2: Convert to fraction form
    208,009.92/311,732.14 = 87,967.08/x
  3. Step 3: Cross multiply
    208,009.92x = 311,732.14 × 87,967.08
  4. Step 4: Simplify right side
    208,009.92x = 27,422,166,097.95
  5. Step 5: Solve for x
    x = 27,422,166,097.95/208,009.92
  6. Step 6: Final answer
    x = 131,831.05

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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.