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Finding the Fourth Proportional to 84,389, 116,471.40 and 50,855

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Solution

The fourth proportional to 84,389, 116,471.40 and 50,855 is: 70,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,389 : 116,471.40 = 50,855 : x
  2. Step 2: Convert to fraction form
    84,389/116,471.40 = 50,855/x
  3. Step 3: Cross multiply
    84,389x = 116,471.40 × 50,855
  4. Step 4: Simplify right side
    84,389x = 5,923,153,047
  5. Step 5: Solve for x
    x = 5,923,153,047/84,389
  6. Step 6: Final answer
    x = 70,188.69

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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.