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Finding the Fourth Proportional to 135,856.80, 187,504.80 and 75,446.76

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Solution

The fourth proportional to 135,856.80, 187,504.80 and 75,446.76 is: 104,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,856.80 : 187,504.80 = 75,446.76 : x
  2. Step 2: Convert to fraction form
    135,856.80/187,504.80 = 75,446.76/x
  3. Step 3: Cross multiply
    135,856.80x = 187,504.80 × 75,446.76
  4. Step 4: Simplify right side
    135,856.80x = 14,146,629,644.45
  5. Step 5: Solve for x
    x = 14,146,629,644.45/135,856.80
  6. Step 6: Final answer
    x = 104,128.98

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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.