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Finding the Fourth Proportional to 84,381.48, 116,458.02 and 50,841

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Solution

The fourth proportional to 84,381.48, 116,458.02 and 50,841 is: 70,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,381.48 : 116,458.02 = 50,841 : x
  2. Step 2: Convert to fraction form
    84,381.48/116,458.02 = 50,841/x
  3. Step 3: Cross multiply
    84,381.48x = 116,458.02 × 50,841
  4. Step 4: Simplify right side
    84,381.48x = 5,920,842,194.82
  5. Step 5: Solve for x
    x = 5,920,842,194.82/84,381.48
  6. Step 6: Final answer
    x = 70,167.56

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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.