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Finding the Fourth Proportional to 135,713.60, 187,295.36 and 75,295.90

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Solution

The fourth proportional to 135,713.60, 187,295.36 and 75,295.90 is: 103,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,713.60 : 187,295.36 = 75,295.90 : x
  2. Step 2: Convert to fraction form
    135,713.60/187,295.36 = 75,295.90/x
  3. Step 3: Cross multiply
    135,713.60x = 187,295.36 × 75,295.90
  4. Step 4: Simplify right side
    135,713.60x = 14,102,573,716.74
  5. Step 5: Solve for x
    x = 14,102,573,716.74/135,713.60
  6. Step 6: Final answer
    x = 103,914.22

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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.