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Finding the Fourth Proportional to 130,791.78, 196,273.80 and 71,668.95

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Solution

The fourth proportional to 130,791.78, 196,273.80 and 71,668.95 is: 107,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,791.78 : 196,273.80 = 71,668.95 : x
  2. Step 2: Convert to fraction form
    130,791.78/196,273.80 = 71,668.95/x
  3. Step 3: Cross multiply
    130,791.78x = 196,273.80 × 71,668.95
  4. Step 4: Simplify right side
    130,791.78x = 14,066,737,158.51
  5. Step 5: Solve for x
    x = 14,066,737,158.51/130,791.78
  6. Step 6: Final answer
    x = 107,550.62

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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.