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Finding the Fourth Proportional to 144,824.80, 217,078.80 and 51,282.40

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Solution

The fourth proportional to 144,824.80, 217,078.80 and 51,282.40 is: 76,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,824.80 : 217,078.80 = 51,282.40 : x
  2. Step 2: Convert to fraction form
    144,824.80/217,078.80 = 51,282.40/x
  3. Step 3: Cross multiply
    144,824.80x = 217,078.80 × 51,282.40
  4. Step 4: Simplify right side
    144,824.80x = 11,132,321,853.12
  5. Step 5: Solve for x
    x = 11,132,321,853.12/144,824.80
  6. Step 6: Final answer
    x = 76,867.51

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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.