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Finding the Fourth Proportional to 76,668.73, 105,712.23 and 52,481.32

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Solution

The fourth proportional to 76,668.73, 105,712.23 and 52,481.32 is: 72,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668.73 : 105,712.23 = 52,481.32 : x
  2. Step 2: Convert to fraction form
    76,668.73/105,712.23 = 52,481.32/x
  3. Step 3: Cross multiply
    76,668.73x = 105,712.23 × 52,481.32
  4. Step 4: Simplify right side
    76,668.73x = 5,547,917,370.54
  5. Step 5: Solve for x
    x = 5,547,917,370.54/76,668.73
  6. Step 6: Final answer
    x = 72,362.19

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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.