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Finding the Fourth Proportional to 135,084.79, 186,440.16 and 78,528.97

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Solution

The fourth proportional to 135,084.79, 186,440.16 and 78,528.97 is: 108,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,084.79 : 186,440.16 = 78,528.97 : x
  2. Step 2: Convert to fraction form
    135,084.79/186,440.16 = 78,528.97/x
  3. Step 3: Cross multiply
    135,084.79x = 186,440.16 × 78,528.97
  4. Step 4: Simplify right side
    135,084.79x = 14,640,953,731.44
  5. Step 5: Solve for x
    x = 14,640,953,731.44/135,084.79
  6. Step 6: Final answer
    x = 108,383.44

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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.