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Finding the Fourth Proportional to 188,658.43, 282,890.26 and 55,521.40

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Solution

The fourth proportional to 188,658.43, 282,890.26 and 55,521.40 is: 83,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,658.43 : 282,890.26 = 55,521.40 : x
  2. Step 2: Convert to fraction form
    188,658.43/282,890.26 = 55,521.40/x
  3. Step 3: Cross multiply
    188,658.43x = 282,890.26 × 55,521.40
  4. Step 4: Simplify right side
    188,658.43x = 15,706,463,281.56
  5. Step 5: Solve for x
    x = 15,706,463,281.56/188,658.43
  6. Step 6: Final answer
    x = 83,253.44

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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.