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Finding the Fourth Proportional to 144,474.60, 216,420.30 and 82,072.20

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Solution

The fourth proportional to 144,474.60, 216,420.30 and 82,072.20 is: 122,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,474.60 : 216,420.30 = 82,072.20 : x
  2. Step 2: Convert to fraction form
    144,474.60/216,420.30 = 82,072.20/x
  3. Step 3: Cross multiply
    144,474.60x = 216,420.30 × 82,072.20
  4. Step 4: Simplify right side
    144,474.60x = 17,762,090,145.66
  5. Step 5: Solve for x
    x = 17,762,090,145.66/144,474.60
  6. Step 6: Final answer
    x = 122,942.65

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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.