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Finding the Fourth Proportional to 135,456.50, 186,940.49 and 75,032.76

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Solution

The fourth proportional to 135,456.50, 186,940.49 and 75,032.76 is: 103,551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456.50 : 186,940.49 = 75,032.76 : x
  2. Step 2: Convert to fraction form
    135,456.50/186,940.49 = 75,032.76/x
  3. Step 3: Cross multiply
    135,456.50x = 186,940.49 × 75,032.76
  4. Step 4: Simplify right side
    135,456.50x = 14,026,661,108.03
  5. Step 5: Solve for x
    x = 14,026,661,108.03/135,456.50
  6. Step 6: Final answer
    x = 103,551.04

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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.