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Finding the Fourth Proportional to 76,709.50, 105,804.57 and 51,203

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Solution

The fourth proportional to 76,709.50, 105,804.57 and 51,203 is: 70,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709.50 : 105,804.57 = 51,203 : x
  2. Step 2: Convert to fraction form
    76,709.50/105,804.57 = 51,203/x
  3. Step 3: Cross multiply
    76,709.50x = 105,804.57 × 51,203
  4. Step 4: Simplify right side
    76,709.50x = 5,417,511,397.71
  5. Step 5: Solve for x
    x = 5,417,511,397.71/76,709.50
  6. Step 6: Final answer
    x = 70,623.73

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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.