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Finding the Fourth Proportional to 208,231.84, 312,406.08 and 83,660.32

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Solution

The fourth proportional to 208,231.84, 312,406.08 and 83,660.32 is: 125,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,231.84 : 312,406.08 = 83,660.32 : x
  2. Step 2: Convert to fraction form
    208,231.84/312,406.08 = 83,660.32/x
  3. Step 3: Cross multiply
    208,231.84x = 312,406.08 × 83,660.32
  4. Step 4: Simplify right side
    208,231.84x = 26,135,992,622.75
  5. Step 5: Solve for x
    x = 26,135,992,622.75/208,231.84
  6. Step 6: Final answer
    x = 125,513.91

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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.