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Finding the Fourth Proportional to 125,428.80, 188,143.08 and 54,293.16

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Solution

The fourth proportional to 125,428.80, 188,143.08 and 54,293.16 is: 81,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,428.80 : 188,143.08 = 54,293.16 : x
  2. Step 2: Convert to fraction form
    125,428.80/188,143.08 = 54,293.16/x
  3. Step 3: Cross multiply
    125,428.80x = 188,143.08 × 54,293.16
  4. Step 4: Simplify right side
    125,428.80x = 10,214,882,345.33
  5. Step 5: Solve for x
    x = 10,214,882,345.33/125,428.80
  6. Step 6: Final answer
    x = 81,439.69

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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.