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Finding the Fourth Proportional to 54,859.86, 82,289.79 and 13,306.50

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Solution

The fourth proportional to 54,859.86, 82,289.79 and 13,306.50 is: 19,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.86 : 82,289.79 = 13,306.50 : x
  2. Step 2: Convert to fraction form
    54,859.86/82,289.79 = 13,306.50/x
  3. Step 3: Cross multiply
    54,859.86x = 82,289.79 × 13,306.50
  4. Step 4: Simplify right side
    54,859.86x = 1,094,989,090.64
  5. Step 5: Solve for x
    x = 1,094,989,090.64/54,859.86
  6. Step 6: Final answer
    x = 19,959.75

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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.