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Finding the Fourth Proportional to 84,390, 116,472.78 and 50,856

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Solution

The fourth proportional to 84,390, 116,472.78 and 50,856 is: 70,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,390 : 116,472.78 = 50,856 : x
  2. Step 2: Convert to fraction form
    84,390/116,472.78 = 50,856/x
  3. Step 3: Cross multiply
    84,390x = 116,472.78 × 50,856
  4. Step 4: Simplify right side
    84,390x = 5,923,339,699.68
  5. Step 5: Solve for x
    x = 5,923,339,699.68/84,390
  6. Step 6: Final answer
    x = 70,190.07

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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.