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Finding the Fourth Proportional to 121,609.90, 182,415.47 and 54,972.01

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Solution

The fourth proportional to 121,609.90, 182,415.47 and 54,972.01 is: 82,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,609.90 : 182,415.47 = 54,972.01 : x
  2. Step 2: Convert to fraction form
    121,609.90/182,415.47 = 54,972.01/x
  3. Step 3: Cross multiply
    121,609.90x = 182,415.47 × 54,972.01
  4. Step 4: Simplify right side
    121,609.90x = 10,027,745,040.99
  5. Step 5: Solve for x
    x = 10,027,745,040.99/121,609.90
  6. Step 6: Final answer
    x = 82,458.30

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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.