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Finding the Fourth Proportional to 254,239.84, 381,362.46 and 76,748.32

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Solution

The fourth proportional to 254,239.84, 381,362.46 and 76,748.32 is: 115,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,239.84 : 381,362.46 = 76,748.32 : x
  2. Step 2: Convert to fraction form
    254,239.84/381,362.46 = 76,748.32/x
  3. Step 3: Cross multiply
    254,239.84x = 381,362.46 × 76,748.32
  4. Step 4: Simplify right side
    254,239.84x = 29,268,928,116.07
  5. Step 5: Solve for x
    x = 29,268,928,116.07/254,239.84
  6. Step 6: Final answer
    x = 115,123.30

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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.