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Finding the Fourth Proportional to 135,896.46, 187,471.71 and 88,164.78

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Solution

The fourth proportional to 135,896.46, 187,471.71 and 88,164.78 is: 121,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,896.46 : 187,471.71 = 88,164.78 : x
  2. Step 2: Convert to fraction form
    135,896.46/187,471.71 = 88,164.78/x
  3. Step 3: Cross multiply
    135,896.46x = 187,471.71 × 88,164.78
  4. Step 4: Simplify right side
    135,896.46x = 16,528,402,068.37
  5. Step 5: Solve for x
    x = 16,528,402,068.37/135,896.46
  6. Step 6: Final answer
    x = 121,624.96

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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.