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Finding the Fourth Proportional to 139,971.91, 209,833.55 and 54,563.08

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Solution

The fourth proportional to 139,971.91, 209,833.55 and 54,563.08 is: 81,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,971.91 : 209,833.55 = 54,563.08 : x
  2. Step 2: Convert to fraction form
    139,971.91/209,833.55 = 54,563.08/x
  3. Step 3: Cross multiply
    139,971.91x = 209,833.55 × 54,563.08
  4. Step 4: Simplify right side
    139,971.91x = 11,449,164,502.52
  5. Step 5: Solve for x
    x = 11,449,164,502.52/139,971.91
  6. Step 6: Final answer
    x = 81,796.16

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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.