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Finding the Fourth Proportional to 135,039.25, 186,354.17 and 75,423.25

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Solution

The fourth proportional to 135,039.25, 186,354.17 and 75,423.25 is: 104,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,039.25 : 186,354.17 = 75,423.25 : x
  2. Step 2: Convert to fraction form
    135,039.25/186,354.17 = 75,423.25/x
  3. Step 3: Cross multiply
    135,039.25x = 186,354.17 × 75,423.25
  4. Step 4: Simplify right side
    135,039.25x = 14,055,437,152.45
  5. Step 5: Solve for x
    x = 14,055,437,152.45/135,039.25
  6. Step 6: Final answer
    x = 104,084.09

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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.