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Finding the Fourth Proportional to 84,042.80, 115,977.72 and 48,231.98

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Solution

The fourth proportional to 84,042.80, 115,977.72 and 48,231.98 is: 66,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,042.80 : 115,977.72 = 48,231.98 : x
  2. Step 2: Convert to fraction form
    84,042.80/115,977.72 = 48,231.98/x
  3. Step 3: Cross multiply
    84,042.80x = 115,977.72 × 48,231.98
  4. Step 4: Simplify right side
    84,042.80x = 5,593,835,071.49
  5. Step 5: Solve for x
    x = 5,593,835,071.49/84,042.80
  6. Step 6: Final answer
    x = 66,559.36

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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.