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Finding the Fourth Proportional to 188,128.56, 282,201.52 and 47,888.40

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Solution

The fourth proportional to 188,128.56, 282,201.52 and 47,888.40 is: 71,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,128.56 : 282,201.52 = 47,888.40 : x
  2. Step 2: Convert to fraction form
    188,128.56/282,201.52 = 47,888.40/x
  3. Step 3: Cross multiply
    188,128.56x = 282,201.52 × 47,888.40
  4. Step 4: Simplify right side
    188,128.56x = 13,514,179,270.37
  5. Step 5: Solve for x
    x = 13,514,179,270.37/188,128.56
  6. Step 6: Final answer
    x = 71,834.81

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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.