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Finding the Fourth Proportional to 208,305, 312,472.08 and 83,646

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Solution

The fourth proportional to 208,305, 312,472.08 and 83,646 is: 125,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,305 : 312,472.08 = 83,646 : x
  2. Step 2: Convert to fraction form
    208,305/312,472.08 = 83,646/x
  3. Step 3: Cross multiply
    208,305x = 312,472.08 × 83,646
  4. Step 4: Simplify right side
    208,305x = 26,137,039,603.68
  5. Step 5: Solve for x
    x = 26,137,039,603.68/208,305
  6. Step 6: Final answer
    x = 125,474.85

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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.