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Finding the Fourth Proportional to 76,262.61, 105,206.81 and 47,983.89

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Solution

The fourth proportional to 76,262.61, 105,206.81 and 47,983.89 is: 66,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,262.61 : 105,206.81 = 47,983.89 : x
  2. Step 2: Convert to fraction form
    76,262.61/105,206.81 = 47,983.89/x
  3. Step 3: Cross multiply
    76,262.61x = 105,206.81 × 47,983.89
  4. Step 4: Simplify right side
    76,262.61x = 5,048,231,758.37
  5. Step 5: Solve for x
    x = 5,048,231,758.37/76,262.61
  6. Step 6: Final answer
    x = 66,195.37

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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.