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Finding the Fourth Proportional to 89,171.76, 122,949.42 and 77,050.33

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Solution

The fourth proportional to 89,171.76, 122,949.42 and 77,050.33 is: 106,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,171.76 : 122,949.42 = 77,050.33 : x
  2. Step 2: Convert to fraction form
    89,171.76/122,949.42 = 77,050.33/x
  3. Step 3: Cross multiply
    89,171.76x = 122,949.42 × 77,050.33
  4. Step 4: Simplify right side
    89,171.76x = 9,473,292,999.06
  5. Step 5: Solve for x
    x = 9,473,292,999.06/89,171.76
  6. Step 6: Final answer
    x = 106,236.48

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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.