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Finding the Fourth Proportional to 220,289.54, 330,434.64 and 54,077.54

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Solution

The fourth proportional to 220,289.54, 330,434.64 and 54,077.54 is: 81,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,289.54 : 330,434.64 = 54,077.54 : x
  2. Step 2: Convert to fraction form
    220,289.54/330,434.64 = 54,077.54/x
  3. Step 3: Cross multiply
    220,289.54x = 330,434.64 × 54,077.54
  4. Step 4: Simplify right side
    220,289.54x = 17,869,092,461.99
  5. Step 5: Solve for x
    x = 17,869,092,461.99/220,289.54
  6. Step 6: Final answer
    x = 81,116.39

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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.