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Finding the Fourth Proportional to 123,389.81, 185,158.44 and 113,351.48

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Solution

The fourth proportional to 123,389.81, 185,158.44 and 113,351.48 is: 170,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,389.81 : 185,158.44 = 113,351.48 : x
  2. Step 2: Convert to fraction form
    123,389.81/185,158.44 = 113,351.48/x
  3. Step 3: Cross multiply
    123,389.81x = 185,158.44 × 113,351.48
  4. Step 4: Simplify right side
    123,389.81x = 20,987,982,282.70
  5. Step 5: Solve for x
    x = 20,987,982,282.70/123,389.81
  6. Step 6: Final answer
    x = 170,094.95

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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.