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Finding the Fourth Proportional to 254,993.47, 382,448.49 and 75,036.78

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Solution

The fourth proportional to 254,993.47, 382,448.49 and 75,036.78 is: 112,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,993.47 : 382,448.49 = 75,036.78 : x
  2. Step 2: Convert to fraction form
    254,993.47/382,448.49 = 75,036.78/x
  3. Step 3: Cross multiply
    254,993.47x = 382,448.49 × 75,036.78
  4. Step 4: Simplify right side
    254,993.47x = 28,697,702,924.07
  5. Step 5: Solve for x
    x = 28,697,702,924.07/254,993.47
  6. Step 6: Final answer
    x = 112,542.89

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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.