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Finding the Fourth Proportional to 135,599.67, 187,133.90 and 84,642.57

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Solution

The fourth proportional to 135,599.67, 187,133.90 and 84,642.57 is: 116,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,599.67 : 187,133.90 = 84,642.57 : x
  2. Step 2: Convert to fraction form
    135,599.67/187,133.90 = 84,642.57/x
  3. Step 3: Cross multiply
    135,599.67x = 187,133.90 × 84,642.57
  4. Step 4: Simplify right side
    135,599.67x = 15,839,493,806.91
  5. Step 5: Solve for x
    x = 15,839,493,806.91/135,599.67
  6. Step 6: Final answer
    x = 116,810.71

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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.