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Finding the Fourth Proportional to 208,654.08, 312,979.68 and 83,993.28

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Solution

The fourth proportional to 208,654.08, 312,979.68 and 83,993.28 is: 125,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,654.08 : 312,979.68 = 83,993.28 : x
  2. Step 2: Convert to fraction form
    208,654.08/312,979.68 = 83,993.28/x
  3. Step 3: Cross multiply
    208,654.08x = 312,979.68 × 83,993.28
  4. Step 4: Simplify right side
    208,654.08x = 26,288,189,896.55
  5. Step 5: Solve for x
    x = 26,288,189,896.55/208,654.08
  6. Step 6: Final answer
    x = 125,989.34

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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.