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Finding the Fourth Proportional to 188,141.70, 282,212.37 and 81,438.24

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Solution

The fourth proportional to 188,141.70, 282,212.37 and 81,438.24 is: 122,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,141.70 : 282,212.37 = 81,438.24 : x
  2. Step 2: Convert to fraction form
    188,141.70/282,212.37 = 81,438.24/x
  3. Step 3: Cross multiply
    188,141.70x = 282,212.37 × 81,438.24
  4. Step 4: Simplify right side
    188,141.70x = 22,982,878,719.03
  5. Step 5: Solve for x
    x = 22,982,878,719.03/188,141.70
  6. Step 6: Final answer
    x = 122,157.28

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1.5x scale

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.