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Finding the Fourth Proportional to 144,480.60, 216,429.30 and 82,078.20

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Solution

The fourth proportional to 144,480.60, 216,429.30 and 82,078.20 is: 122,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,480.60 : 216,429.30 = 82,078.20 : x
  2. Step 2: Convert to fraction form
    144,480.60/216,429.30 = 82,078.20/x
  3. Step 3: Cross multiply
    144,480.60x = 216,429.30 × 82,078.20
  4. Step 4: Simplify right side
    144,480.60x = 17,764,127,371.26
  5. Step 5: Solve for x
    x = 17,764,127,371.26/144,480.60
  6. Step 6: Final answer
    x = 122,951.64

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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.