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Finding the Fourth Proportional to 76,674, 105,819.84 and 43,146.48

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Solution

The fourth proportional to 76,674, 105,819.84 and 43,146.48 is: 59,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,674 : 105,819.84 = 43,146.48 : x
  2. Step 2: Convert to fraction form
    76,674/105,819.84 = 43,146.48/x
  3. Step 3: Cross multiply
    76,674x = 105,819.84 × 43,146.48
  4. Step 4: Simplify right side
    76,674x = 4,565,753,610.16
  5. Step 5: Solve for x
    x = 4,565,753,610.16/76,674
  6. Step 6: Final answer
    x = 59,547.61

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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.