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Finding the Fourth Proportional to 84,108, 116,070.72 and 54,351.84

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Solution

The fourth proportional to 84,108, 116,070.72 and 54,351.84 is: 75,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,108 : 116,070.72 = 54,351.84 : x
  2. Step 2: Convert to fraction form
    84,108/116,070.72 = 54,351.84/x
  3. Step 3: Cross multiply
    84,108x = 116,070.72 × 54,351.84
  4. Step 4: Simplify right side
    84,108x = 6,308,657,202.12
  5. Step 5: Solve for x
    x = 6,308,657,202.12/84,108
  6. Step 6: Final answer
    x = 75,006.62

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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.