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Finding the Fourth Proportional to 76,841.80, 106,042.15 and 42,852.44

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Solution

The fourth proportional to 76,841.80, 106,042.15 and 42,852.44 is: 59,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.80 : 106,042.15 = 42,852.44 : x
  2. Step 2: Convert to fraction form
    76,841.80/106,042.15 = 42,852.44/x
  3. Step 3: Cross multiply
    76,841.80x = 106,042.15 × 42,852.44
  4. Step 4: Simplify right side
    76,841.80x = 4,544,164,836.03
  5. Step 5: Solve for x
    x = 4,544,164,836.03/76,841.80
  6. Step 6: Final answer
    x = 59,136.62

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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.