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Finding the Fourth Proportional to 149,971.84, 225,013.92 and 77,879.82

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Solution

The fourth proportional to 149,971.84, 225,013.92 and 77,879.82 is: 116,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,971.84 : 225,013.92 = 77,879.82 : x
  2. Step 2: Convert to fraction form
    149,971.84/225,013.92 = 77,879.82/x
  3. Step 3: Cross multiply
    149,971.84x = 225,013.92 × 77,879.82
  4. Step 4: Simplify right side
    149,971.84x = 17,524,043,587.09
  5. Step 5: Solve for x
    x = 17,524,043,587.09/149,971.84
  6. Step 6: Final answer
    x = 116,848.89

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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.