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Finding the Fourth Proportional to 75,576, 104,294.88 and 42,042

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Solution

The fourth proportional to 75,576, 104,294.88 and 42,042 is: 58,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,576 : 104,294.88 = 42,042 : x
  2. Step 2: Convert to fraction form
    75,576/104,294.88 = 42,042/x
  3. Step 3: Cross multiply
    75,576x = 104,294.88 × 42,042
  4. Step 4: Simplify right side
    75,576x = 4,384,765,344.96
  5. Step 5: Solve for x
    x = 4,384,765,344.96/75,576
  6. Step 6: Final answer
    x = 58,017.96

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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.