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Finding the Fourth Proportional to 81,853.80, 112,957.11 and 46,043.79

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Solution

The fourth proportional to 81,853.80, 112,957.11 and 46,043.79 is: 63,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,853.80 : 112,957.11 = 46,043.79 : x
  2. Step 2: Convert to fraction form
    81,853.80/112,957.11 = 46,043.79/x
  3. Step 3: Cross multiply
    81,853.80x = 112,957.11 × 46,043.79
  4. Step 4: Simplify right side
    81,853.80x = 5,200,973,451.85
  5. Step 5: Solve for x
    x = 5,200,973,451.85/81,853.80
  6. Step 6: Final answer
    x = 63,539.79

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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.