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Finding the Fourth Proportional to 188,133.48, 282,310.56 and 69,886.80

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Solution

The fourth proportional to 188,133.48, 282,310.56 and 69,886.80 is: 104,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,133.48 : 282,310.56 = 69,886.80 : x
  2. Step 2: Convert to fraction form
    188,133.48/282,310.56 = 69,886.80/x
  3. Step 3: Cross multiply
    188,133.48x = 282,310.56 × 69,886.80
  4. Step 4: Simplify right side
    188,133.48x = 19,729,781,644.61
  5. Step 5: Solve for x
    x = 19,729,781,644.61/188,133.48
  6. Step 6: Final answer
    x = 104,871.19

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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.