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Finding the Fourth Proportional to 253,809.22, 380,761.89 and 102,018.13

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Solution

The fourth proportional to 253,809.22, 380,761.89 and 102,018.13 is: 153,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,809.22 : 380,761.89 = 102,018.13 : x
  2. Step 2: Convert to fraction form
    253,809.22/380,761.89 = 102,018.13/x
  3. Step 3: Cross multiply
    253,809.22x = 380,761.89 × 102,018.13
  4. Step 4: Simplify right side
    253,809.22x = 38,844,615,993.07
  5. Step 5: Solve for x
    x = 38,844,615,993.07/253,809.22
  6. Step 6: Final answer
    x = 153,046.51

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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.