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Finding the Fourth Proportional to 255,052.20, 382,140.90 and 121,645.20

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Solution

The fourth proportional to 255,052.20, 382,140.90 and 121,645.20 is: 182,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,052.20 : 382,140.90 = 121,645.20 : x
  2. Step 2: Convert to fraction form
    255,052.20/382,140.90 = 121,645.20/x
  3. Step 3: Cross multiply
    255,052.20x = 382,140.90 × 121,645.20
  4. Step 4: Simplify right side
    255,052.20x = 46,485,606,208.68
  5. Step 5: Solve for x
    x = 46,485,606,208.68/255,052.20
  6. Step 6: Final answer
    x = 182,259.19

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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.