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Finding the Fourth Proportional to 75,549, 104,257.62 and 42,015

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Solution

The fourth proportional to 75,549, 104,257.62 and 42,015 is: 57,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,549 : 104,257.62 = 42,015 : x
  2. Step 2: Convert to fraction form
    75,549/104,257.62 = 42,015/x
  3. Step 3: Cross multiply
    75,549x = 104,257.62 × 42,015
  4. Step 4: Simplify right side
    75,549x = 4,380,383,904.30
  5. Step 5: Solve for x
    x = 4,380,383,904.30/75,549
  6. Step 6: Final answer
    x = 57,980.70

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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.