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Finding the Fourth Proportional to 75,570, 104,287.22 and 42,036

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Solution

The fourth proportional to 75,570, 104,287.22 and 42,036 is: 58,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,570 : 104,287.22 = 42,036 : x
  2. Step 2: Convert to fraction form
    75,570/104,287.22 = 42,036/x
  3. Step 3: Cross multiply
    75,570x = 104,287.22 × 42,036
  4. Step 4: Simplify right side
    75,570x = 4,383,817,369.74
  5. Step 5: Solve for x
    x = 4,383,817,369.74/75,570
  6. Step 6: Final answer
    x = 58,010.02

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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.