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Finding the Fourth Proportional to 188,293.68, 282,479.40 and 55,178.28

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Solution

The fourth proportional to 188,293.68, 282,479.40 and 55,178.28 is: 82,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,293.68 : 282,479.40 = 55,178.28 : x
  2. Step 2: Convert to fraction form
    188,293.68/282,479.40 = 55,178.28/x
  3. Step 3: Cross multiply
    188,293.68x = 282,479.40 × 55,178.28
  4. Step 4: Simplify right side
    188,293.68x = 15,586,727,427.43
  5. Step 5: Solve for x
    x = 15,586,727,427.43/188,293.68
  6. Step 6: Final answer
    x = 82,778.81

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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.