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Finding the Fourth Proportional to 253,174.49, 379,948.64 and 120,055.19

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Solution

The fourth proportional to 253,174.49, 379,948.64 and 120,055.19 is: 180,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,174.49 : 379,948.64 = 120,055.19 : x
  2. Step 2: Convert to fraction form
    253,174.49/379,948.64 = 120,055.19/x
  3. Step 3: Cross multiply
    253,174.49x = 379,948.64 × 120,055.19
  4. Step 4: Simplify right side
    253,174.49x = 45,614,805,565.17
  5. Step 5: Solve for x
    x = 45,614,805,565.17/253,174.49
  6. Step 6: Final answer
    x = 180,171.42

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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.