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Finding the Fourth Proportional to 135,055.63, 186,255.70 and 112,469.41

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Solution

The fourth proportional to 135,055.63, 186,255.70 and 112,469.41 is: 155,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,055.63 : 186,255.70 = 112,469.41 : x
  2. Step 2: Convert to fraction form
    135,055.63/186,255.70 = 112,469.41/x
  3. Step 3: Cross multiply
    135,055.63x = 186,255.70 × 112,469.41
  4. Step 4: Simplify right side
    135,055.63x = 20,948,068,688.14
  5. Step 5: Solve for x
    x = 20,948,068,688.14/135,055.63
  6. Step 6: Final answer
    x = 155,106.96

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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.