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Finding the Fourth Proportional to 76,707, 105,857.28 and 43,173

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Solution

The fourth proportional to 76,707, 105,857.28 and 43,173 is: 59,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707 : 105,857.28 = 43,173 : x
  2. Step 2: Convert to fraction form
    76,707/105,857.28 = 43,173/x
  3. Step 3: Cross multiply
    76,707x = 105,857.28 × 43,173
  4. Step 4: Simplify right side
    76,707x = 4,570,176,349.44
  5. Step 5: Solve for x
    x = 4,570,176,349.44/76,707
  6. Step 6: Final answer
    x = 59,579.65

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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.