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Finding the Fourth Proportional to 82,152.40, 122,921.40 and 54,504.40

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Solution

The fourth proportional to 82,152.40, 122,921.40 and 54,504.40 is: 81,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,152.40 : 122,921.40 = 54,504.40 : x
  2. Step 2: Convert to fraction form
    82,152.40/122,921.40 = 54,504.40/x
  3. Step 3: Cross multiply
    82,152.40x = 122,921.40 × 54,504.40
  4. Step 4: Simplify right side
    82,152.40x = 6,699,757,154.16
  5. Step 5: Solve for x
    x = 6,699,757,154.16/82,152.40
  6. Step 6: Final answer
    x = 81,552.79

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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.