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Finding the Fourth Proportional to 84,304.29, 116,204.79 and 57,071.79

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Solution

The fourth proportional to 84,304.29, 116,204.79 and 57,071.79 is: 78,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,304.29 : 116,204.79 = 57,071.79 : x
  2. Step 2: Convert to fraction form
    84,304.29/116,204.79 = 57,071.79/x
  3. Step 3: Cross multiply
    84,304.29x = 116,204.79 × 57,071.79
  4. Step 4: Simplify right side
    84,304.29x = 6,632,015,371.87
  5. Step 5: Solve for x
    x = 6,632,015,371.87/84,304.29
  6. Step 6: Final answer
    x = 78,667.59

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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.