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Finding the Fourth Proportional to 135,465.42, 186,940.29 and 75,035.88

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Solution

The fourth proportional to 135,465.42, 186,940.29 and 75,035.88 is: 103,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,465.42 : 186,940.29 = 75,035.88 : x
  2. Step 2: Convert to fraction form
    135,465.42/186,940.29 = 75,035.88/x
  3. Step 3: Cross multiply
    135,465.42x = 186,940.29 × 75,035.88
  4. Step 4: Simplify right side
    135,465.42x = 14,027,229,167.61
  5. Step 5: Solve for x
    x = 14,027,229,167.61/135,465.42
  6. Step 6: Final answer
    x = 103,548.41

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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.