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Finding the Fourth Proportional to 134,145, 201,257.75 and 54,141.81

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Solution

The fourth proportional to 134,145, 201,257.75 and 54,141.81 is: 81,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,145 : 201,257.75 = 54,141.81 : x
  2. Step 2: Convert to fraction form
    134,145/201,257.75 = 54,141.81/x
  3. Step 3: Cross multiply
    134,145x = 201,257.75 × 54,141.81
  4. Step 4: Simplify right side
    134,145x = 10,896,458,861.53
  5. Step 5: Solve for x
    x = 10,896,458,861.53/134,145
  6. Step 6: Final answer
    x = 81,228.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.