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Finding the Fourth Proportional to 144,784.80, 217,436.40 and 140,119.20

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Solution

The fourth proportional to 144,784.80, 217,436.40 and 140,119.20 is: 210,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,784.80 : 217,436.40 = 140,119.20 : x
  2. Step 2: Convert to fraction form
    144,784.80/217,436.40 = 140,119.20/x
  3. Step 3: Cross multiply
    144,784.80x = 217,436.40 × 140,119.20
  4. Step 4: Simplify right side
    144,784.80x = 30,467,014,418.88
  5. Step 5: Solve for x
    x = 30,467,014,418.88/144,784.80
  6. Step 6: Final answer
    x = 210,429.65

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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.