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Finding the Fourth Proportional to 208,587.88, 312,912.06 and 83,921.32

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Solution

The fourth proportional to 208,587.88, 312,912.06 and 83,921.32 is: 125,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,587.88 : 312,912.06 = 83,921.32 : x
  2. Step 2: Convert to fraction form
    208,587.88/312,912.06 = 83,921.32/x
  3. Step 3: Cross multiply
    208,587.88x = 312,912.06 × 83,921.32
  4. Step 4: Simplify right side
    208,587.88x = 26,259,993,119.12
  5. Step 5: Solve for x
    x = 26,259,993,119.12/208,587.88
  6. Step 6: Final answer
    x = 125,894.15

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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.