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Finding the Fourth Proportional to 78,793, 108,743.45 and 43,871.16

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Solution

The fourth proportional to 78,793, 108,743.45 and 43,871.16 is: 60,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,793 : 108,743.45 = 43,871.16 : x
  2. Step 2: Convert to fraction form
    78,793/108,743.45 = 43,871.16/x
  3. Step 3: Cross multiply
    78,793x = 108,743.45 × 43,871.16
  4. Step 4: Simplify right side
    78,793x = 4,770,701,293.90
  5. Step 5: Solve for x
    x = 4,770,701,293.90/78,793
  6. Step 6: Final answer
    x = 60,547.27

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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.