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Finding the Fourth Proportional to 76,797, 105,979.86 and 43,263

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Solution

The fourth proportional to 76,797, 105,979.86 and 43,263 is: 59,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797 : 105,979.86 = 43,263 : x
  2. Step 2: Convert to fraction form
    76,797/105,979.86 = 43,263/x
  3. Step 3: Cross multiply
    76,797x = 105,979.86 × 43,263
  4. Step 4: Simplify right side
    76,797x = 4,585,006,683.18
  5. Step 5: Solve for x
    x = 4,585,006,683.18/76,797
  6. Step 6: Final answer
    x = 59,702.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.