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Finding the Fourth Proportional to 82,150.40, 122,918.40 and 54,502.40

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Solution

The fourth proportional to 82,150.40, 122,918.40 and 54,502.40 is: 81,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,150.40 : 122,918.40 = 54,502.40 : x
  2. Step 2: Convert to fraction form
    82,150.40/122,918.40 = 54,502.40/x
  3. Step 3: Cross multiply
    82,150.40x = 122,918.40 × 54,502.40
  4. Step 4: Simplify right side
    82,150.40x = 6,699,347,804.16
  5. Step 5: Solve for x
    x = 6,699,347,804.16/82,150.40
  6. Step 6: Final answer
    x = 81,549.79

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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.