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Finding the Fourth Proportional to 188,620.47, 282,550.82 and 87,275.70

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Solution

The fourth proportional to 188,620.47, 282,550.82 and 87,275.70 is: 130,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,620.47 : 282,550.82 = 87,275.70 : x
  2. Step 2: Convert to fraction form
    188,620.47/282,550.82 = 87,275.70/x
  3. Step 3: Cross multiply
    188,620.47x = 282,550.82 × 87,275.70
  4. Step 4: Simplify right side
    188,620.47x = 24,659,820,164.70
  5. Step 5: Solve for x
    x = 24,659,820,164.70/188,620.47
  6. Step 6: Final answer
    x = 130,737.77

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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.