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Finding the Fourth Proportional to 188,127.90, 282,234.95 and 81,529.75

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Solution

The fourth proportional to 188,127.90, 282,234.95 and 81,529.75 is: 122,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,127.90 : 282,234.95 = 81,529.75 : x
  2. Step 2: Convert to fraction form
    188,127.90/282,234.95 = 81,529.75/x
  3. Step 3: Cross multiply
    188,127.90x = 282,234.95 × 81,529.75
  4. Step 4: Simplify right side
    188,127.90x = 23,010,544,859.91
  5. Step 5: Solve for x
    x = 23,010,544,859.91/188,127.90
  6. Step 6: Final answer
    x = 122,313.30

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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.