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Finding the Fourth Proportional to 135,716.61, 187,311.32 and 75,306.68

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Solution

The fourth proportional to 135,716.61, 187,311.32 and 75,306.68 is: 103,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,716.61 : 187,311.32 = 75,306.68 : x
  2. Step 2: Convert to fraction form
    135,716.61/187,311.32 = 75,306.68/x
  3. Step 3: Cross multiply
    135,716.61x = 187,311.32 × 75,306.68
  4. Step 4: Simplify right side
    135,716.61x = 14,105,792,322.53
  5. Step 5: Solve for x
    x = 14,105,792,322.53/135,716.61
  6. Step 6: Final answer
    x = 103,935.64

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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.