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Finding the Fourth Proportional to 188,127.40, 282,188 and 75,804.88

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Solution

The fourth proportional to 188,127.40, 282,188 and 75,804.88 is: 113,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,127.40 : 282,188 = 75,804.88 : x
  2. Step 2: Convert to fraction form
    188,127.40/282,188 = 75,804.88/x
  3. Step 3: Cross multiply
    188,127.40x = 282,188 × 75,804.88
  4. Step 4: Simplify right side
    188,127.40x = 21,391,227,477.44
  5. Step 5: Solve for x
    x = 21,391,227,477.44/188,127.40
  6. Step 6: Final answer
    x = 113,706.07

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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.