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Finding the Fourth Proportional to 188,130.34, 282,274.67 and 117,112.42

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Solution

The fourth proportional to 188,130.34, 282,274.67 and 117,112.42 is: 175,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,130.34 : 282,274.67 = 117,112.42 : x
  2. Step 2: Convert to fraction form
    188,130.34/282,274.67 = 117,112.42/x
  3. Step 3: Cross multiply
    188,130.34x = 282,274.67 × 117,112.42
  4. Step 4: Simplify right side
    188,130.34x = 33,057,869,295.50
  5. Step 5: Solve for x
    x = 33,057,869,295.50/188,130.34
  6. Step 6: Final answer
    x = 175,717.91

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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.