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Finding the Fourth Proportional to 199,782.84, 275,708.73 and 114,900

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Solution

The fourth proportional to 199,782.84, 275,708.73 and 114,900 is: 158,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,782.84 : 275,708.73 = 114,900 : x
  2. Step 2: Convert to fraction form
    199,782.84/275,708.73 = 114,900/x
  3. Step 3: Cross multiply
    199,782.84x = 275,708.73 × 114,900
  4. Step 4: Simplify right side
    199,782.84x = 31,678,933,077.00
  5. Step 5: Solve for x
    x = 31,678,933,077.00/199,782.84
  6. Step 6: Final answer
    x = 158,566.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.