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Finding the Fourth Proportional to 101,438.94, 152,223.69 and 54,724.06

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Solution

The fourth proportional to 101,438.94, 152,223.69 and 54,724.06 is: 82,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.94 : 152,223.69 = 54,724.06 : x
  2. Step 2: Convert to fraction form
    101,438.94/152,223.69 = 54,724.06/x
  3. Step 3: Cross multiply
    101,438.94x = 152,223.69 × 54,724.06
  4. Step 4: Simplify right side
    101,438.94x = 8,330,298,344.98
  5. Step 5: Solve for x
    x = 8,330,298,344.98/101,438.94
  6. Step 6: Final answer
    x = 82,121.31

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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.