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Finding the Fourth Proportional to 144,976.32, 217,424.88 and 39,770.28

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Solution

The fourth proportional to 144,976.32, 217,424.88 and 39,770.28 is: 59,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,976.32 : 217,424.88 = 39,770.28 : x
  2. Step 2: Convert to fraction form
    144,976.32/217,424.88 = 39,770.28/x
  3. Step 3: Cross multiply
    144,976.32x = 217,424.88 × 39,770.28
  4. Step 4: Simplify right side
    144,976.32x = 8,647,048,356.57
  5. Step 5: Solve for x
    x = 8,647,048,356.57/144,976.32
  6. Step 6: Final answer
    x = 59,644.56

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1.5x scale

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.