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Finding the Fourth Proportional to 135,862.34, 187,359.71 and 87,414.80

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Solution

The fourth proportional to 135,862.34, 187,359.71 and 87,414.80 is: 120,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,862.34 : 187,359.71 = 87,414.80 : x
  2. Step 2: Convert to fraction form
    135,862.34/187,359.71 = 87,414.80/x
  3. Step 3: Cross multiply
    135,862.34x = 187,359.71 × 87,414.80
  4. Step 4: Simplify right side
    135,862.34x = 16,378,010,203.84
  5. Step 5: Solve for x
    x = 16,378,010,203.84/135,862.34
  6. Step 6: Final answer
    x = 120,548.57

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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.