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Finding the Fourth Proportional to 253,830.67, 380,794.07 and 102,039.51

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Solution

The fourth proportional to 253,830.67, 380,794.07 and 102,039.51 is: 153,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,830.67 : 380,794.07 = 102,039.51 : x
  2. Step 2: Convert to fraction form
    253,830.67/380,794.07 = 102,039.51/x
  3. Step 3: Cross multiply
    253,830.67x = 380,794.07 × 102,039.51
  4. Step 4: Simplify right side
    253,830.67x = 38,856,040,313.71
  5. Step 5: Solve for x
    x = 38,856,040,313.71/253,830.67
  6. Step 6: Final answer
    x = 153,078.59

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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.