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Finding the Fourth Proportional to 188,422.80, 282,331.80 and 99,560.40

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Solution

The fourth proportional to 188,422.80, 282,331.80 and 99,560.40 is: 149,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,422.80 : 282,331.80 = 99,560.40 : x
  2. Step 2: Convert to fraction form
    188,422.80/282,331.80 = 99,560.40/x
  3. Step 3: Cross multiply
    188,422.80x = 282,331.80 × 99,560.40
  4. Step 4: Simplify right side
    188,422.80x = 28,109,066,940.72
  5. Step 5: Solve for x
    x = 28,109,066,940.72/188,422.80
  6. Step 6: Final answer
    x = 149,180.82

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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.