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Finding the Fourth Proportional to 188,243.64, 282,291.66 and 68,272.02

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Solution

The fourth proportional to 188,243.64, 282,291.66 and 68,272.02 is: 102,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,243.64 : 282,291.66 = 68,272.02 : x
  2. Step 2: Convert to fraction form
    188,243.64/282,291.66 = 68,272.02/x
  3. Step 3: Cross multiply
    188,243.64x = 282,291.66 × 68,272.02
  4. Step 4: Simplify right side
    188,243.64x = 19,272,621,857.35
  5. Step 5: Solve for x
    x = 19,272,621,857.35/188,243.64
  6. Step 6: Final answer
    x = 102,381.26

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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.