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Finding the Fourth Proportional to 188,137.48, 282,316.56 and 69,890.80

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Solution

The fourth proportional to 188,137.48, 282,316.56 and 69,890.80 is: 104,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,137.48 : 282,316.56 = 69,890.80 : x
  2. Step 2: Convert to fraction form
    188,137.48/282,316.56 = 69,890.80/x
  3. Step 3: Cross multiply
    188,137.48x = 282,316.56 × 69,890.80
  4. Step 4: Simplify right side
    188,137.48x = 19,731,330,231.65
  5. Step 5: Solve for x
    x = 19,731,330,231.65/188,137.48
  6. Step 6: Final answer
    x = 104,877.19

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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.