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Finding the Fourth Proportional to 144,172.54, 216,181.04 and 55,448.38

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Solution

The fourth proportional to 144,172.54, 216,181.04 and 55,448.38 is: 83,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,172.54 : 216,181.04 = 55,448.38 : x
  2. Step 2: Convert to fraction form
    144,172.54/216,181.04 = 55,448.38/x
  3. Step 3: Cross multiply
    144,172.54x = 216,181.04 × 55,448.38
  4. Step 4: Simplify right side
    144,172.54x = 11,986,888,454.72
  5. Step 5: Solve for x
    x = 11,986,888,454.72/144,172.54
  6. Step 6: Final answer
    x = 83,142.66

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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.