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Finding the Fourth Proportional to 135,989.60, 187,659.52 and 75,564.48

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Solution

The fourth proportional to 135,989.60, 187,659.52 and 75,564.48 is: 104,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,989.60 : 187,659.52 = 75,564.48 : x
  2. Step 2: Convert to fraction form
    135,989.60/187,659.52 = 75,564.48/x
  3. Step 3: Cross multiply
    135,989.60x = 187,659.52 × 75,564.48
  4. Step 4: Simplify right side
    135,989.60x = 14,180,394,045.85
  5. Step 5: Solve for x
    x = 14,180,394,045.85/135,989.60
  6. Step 6: Final answer
    x = 104,275.58

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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.