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Finding the Fourth Proportional to 208,506.64, 312,760 and 83,818.48

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Solution

The fourth proportional to 208,506.64, 312,760 and 83,818.48 is: 125,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,506.64 : 312,760 = 83,818.48 : x
  2. Step 2: Convert to fraction form
    208,506.64/312,760 = 83,818.48/x
  3. Step 3: Cross multiply
    208,506.64x = 312,760 × 83,818.48
  4. Step 4: Simplify right side
    208,506.64x = 26,215,067,804.80
  5. Step 5: Solve for x
    x = 26,215,067,804.80/208,506.64
  6. Step 6: Final answer
    x = 125,727.74

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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.