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Finding the Fourth Proportional to 106,211.81, 159,428.42 and 47,089

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Solution

The fourth proportional to 106,211.81, 159,428.42 and 47,089 is: 70,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,211.81 : 159,428.42 = 47,089 : x
  2. Step 2: Convert to fraction form
    106,211.81/159,428.42 = 47,089/x
  3. Step 3: Cross multiply
    106,211.81x = 159,428.42 × 47,089
  4. Step 4: Simplify right side
    106,211.81x = 7,507,324,869.38
  5. Step 5: Solve for x
    x = 7,507,324,869.38/106,211.81
  6. Step 6: Final answer
    x = 70,682.58

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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.