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Finding the Fourth Proportional to 208,978.06, 313,426.28 and 66,785.19

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Solution

The fourth proportional to 208,978.06, 313,426.28 and 66,785.19 is: 100,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.06 : 313,426.28 = 66,785.19 : x
  2. Step 2: Convert to fraction form
    208,978.06/313,426.28 = 66,785.19/x
  3. Step 3: Cross multiply
    208,978.06x = 313,426.28 × 66,785.19
  4. Step 4: Simplify right side
    208,978.06x = 20,932,232,793.75
  5. Step 5: Solve for x
    x = 20,932,232,793.75/208,978.06
  6. Step 6: Final answer
    x = 100,164.74

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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.