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Finding the Fourth Proportional to 144,106.96, 216,012.64 and 55,336.56

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Solution

The fourth proportional to 144,106.96, 216,012.64 and 55,336.56 is: 82,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,106.96 : 216,012.64 = 55,336.56 : x
  2. Step 2: Convert to fraction form
    144,106.96/216,012.64 = 55,336.56/x
  3. Step 3: Cross multiply
    144,106.96x = 216,012.64 × 55,336.56
  4. Step 4: Simplify right side
    144,106.96x = 11,953,396,414.12
  5. Step 5: Solve for x
    x = 11,953,396,414.12/144,106.96
  6. Step 6: Final answer
    x = 82,948.09

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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.