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Finding the Fourth Proportional to 76,780, 105,956.64 and 43,246.72

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Solution

The fourth proportional to 76,780, 105,956.64 and 43,246.72 is: 59,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,780 : 105,956.64 = 43,246.72 : x
  2. Step 2: Convert to fraction form
    76,780/105,956.64 = 43,246.72/x
  3. Step 3: Cross multiply
    76,780x = 105,956.64 × 43,246.72
  4. Step 4: Simplify right side
    76,780x = 4,582,277,142.22
  5. Step 5: Solve for x
    x = 4,582,277,142.22/76,780
  6. Step 6: Final answer
    x = 59,680.61

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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.