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Finding the Fourth Proportional to 89,693.80, 134,365.56 and 54,546.28

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Solution

The fourth proportional to 89,693.80, 134,365.56 and 54,546.28 is: 81,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,693.80 : 134,365.56 = 54,546.28 : x
  2. Step 2: Convert to fraction form
    89,693.80/134,365.56 = 54,546.28/x
  3. Step 3: Cross multiply
    89,693.80x = 134,365.56 × 54,546.28
  4. Step 4: Simplify right side
    89,693.80x = 7,329,141,458.12
  5. Step 5: Solve for x
    x = 7,329,141,458.12/89,693.80
  6. Step 6: Final answer
    x = 81,712.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.