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Finding the Fourth Proportional to 254,195.01, 381,282.93 and 76,697.28

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Solution

The fourth proportional to 254,195.01, 381,282.93 and 76,697.28 is: 115,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,195.01 : 381,282.93 = 76,697.28 : x
  2. Step 2: Convert to fraction form
    254,195.01/381,282.93 = 76,697.28/x
  3. Step 3: Cross multiply
    254,195.01x = 381,282.93 × 76,697.28
  4. Step 4: Simplify right side
    254,195.01x = 29,243,363,641.43
  5. Step 5: Solve for x
    x = 29,243,363,641.43/254,195.01
  6. Step 6: Final answer
    x = 115,043.03

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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.