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Finding the Fourth Proportional to 181,974.76, 272,962.14 and 71,089

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Solution

The fourth proportional to 181,974.76, 272,962.14 and 71,089 is: 106,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,974.76 : 272,962.14 = 71,089 : x
  2. Step 2: Convert to fraction form
    181,974.76/272,962.14 = 71,089/x
  3. Step 3: Cross multiply
    181,974.76x = 272,962.14 × 71,089
  4. Step 4: Simplify right side
    181,974.76x = 19,404,605,570.46
  5. Step 5: Solve for x
    x = 19,404,605,570.46/181,974.76
  6. Step 6: Final answer
    x = 106,633.50

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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.