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Finding the Fourth Proportional to 135,978.24, 187,653.26 and 75,551.43

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Solution

The fourth proportional to 135,978.24, 187,653.26 and 75,551.43 is: 104,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978.24 : 187,653.26 = 75,551.43 : x
  2. Step 2: Convert to fraction form
    135,978.24/187,653.26 = 75,551.43/x
  3. Step 3: Cross multiply
    135,978.24x = 187,653.26 × 75,551.43
  4. Step 4: Simplify right side
    135,978.24x = 14,177,472,604.76
  5. Step 5: Solve for x
    x = 14,177,472,604.76/135,978.24
  6. Step 6: Final answer
    x = 104,262.80

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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.