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Finding the Fourth Proportional to 135,489.51, 186,986.07 and 75,065.74

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Solution

The fourth proportional to 135,489.51, 186,986.07 and 75,065.74 is: 103,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,489.51 : 186,986.07 = 75,065.74 : x
  2. Step 2: Convert to fraction form
    135,489.51/186,986.07 = 75,065.74/x
  3. Step 3: Cross multiply
    135,489.51x = 186,986.07 × 75,065.74
  4. Step 4: Simplify right side
    135,489.51x = 14,036,247,246.78
  5. Step 5: Solve for x
    x = 14,036,247,246.78/135,489.51
  6. Step 6: Final answer
    x = 103,596.56

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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.