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Finding the Fourth Proportional to 135,223.44, 186,624 and 81,535.92

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Solution

The fourth proportional to 135,223.44, 186,624 and 81,535.92 is: 112,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,223.44 : 186,624 = 81,535.92 : x
  2. Step 2: Convert to fraction form
    135,223.44/186,624 = 81,535.92/x
  3. Step 3: Cross multiply
    135,223.44x = 186,624 × 81,535.92
  4. Step 4: Simplify right side
    135,223.44x = 15,216,559,534.08
  5. Step 5: Solve for x
    x = 15,216,559,534.08/135,223.44
  6. Step 6: Final answer
    x = 112,529.01

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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.