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Finding the Fourth Proportional to 76,580.64, 105,665.76 and 44,743.38

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Solution

The fourth proportional to 76,580.64, 105,665.76 and 44,743.38 is: 61,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.64 : 105,665.76 = 44,743.38 : x
  2. Step 2: Convert to fraction form
    76,580.64/105,665.76 = 44,743.38/x
  3. Step 3: Cross multiply
    76,580.64x = 105,665.76 × 44,743.38
  4. Step 4: Simplify right side
    76,580.64x = 4,727,843,252.67
  5. Step 5: Solve for x
    x = 4,727,843,252.67/76,580.64
  6. Step 6: Final answer
    x = 61,736.79

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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.