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Finding the Fourth Proportional to 253,154.69, 379,918.89 and 120,035.42

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Solution

The fourth proportional to 253,154.69, 379,918.89 and 120,035.42 is: 180,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,154.69 : 379,918.89 = 120,035.42 : x
  2. Step 2: Convert to fraction form
    253,154.69/379,918.89 = 120,035.42/x
  3. Step 3: Cross multiply
    253,154.69x = 379,918.89 × 120,035.42
  4. Step 4: Simplify right side
    253,154.69x = 45,603,721,627.49
  5. Step 5: Solve for x
    x = 45,603,721,627.49/253,154.69
  6. Step 6: Final answer
    x = 180,141.72

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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.