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Finding the Fourth Proportional to 181,969.76, 272,954.64 and 71,084

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Solution

The fourth proportional to 181,969.76, 272,954.64 and 71,084 is: 106,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,969.76 : 272,954.64 = 71,084 : x
  2. Step 2: Convert to fraction form
    181,969.76/272,954.64 = 71,084/x
  3. Step 3: Cross multiply
    181,969.76x = 272,954.64 × 71,084
  4. Step 4: Simplify right side
    181,969.76x = 19,402,707,629.76
  5. Step 5: Solve for x
    x = 19,402,707,629.76/181,969.76
  6. Step 6: Final answer
    x = 106,626

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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.