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Finding the Fourth Proportional to 135,457.62, 186,942.05 and 75,033.89

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Solution

The fourth proportional to 135,457.62, 186,942.05 and 75,033.89 is: 103,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,457.62 : 186,942.05 = 75,033.89 : x
  2. Step 2: Convert to fraction form
    135,457.62/186,942.05 = 75,033.89/x
  3. Step 3: Cross multiply
    135,457.62x = 186,942.05 × 75,033.89
  4. Step 4: Simplify right side
    135,457.62x = 14,026,987,906.19
  5. Step 5: Solve for x
    x = 14,026,987,906.19/135,457.62
  6. Step 6: Final answer
    x = 103,552.59

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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.