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Finding the Fourth Proportional to 254,504.65, 381,672.21 and 102,662.50

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Solution

The fourth proportional to 254,504.65, 381,672.21 and 102,662.50 is: 153,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,504.65 : 381,672.21 = 102,662.50 : x
  2. Step 2: Convert to fraction form
    254,504.65/381,672.21 = 102,662.50/x
  3. Step 3: Cross multiply
    254,504.65x = 381,672.21 × 102,662.50
  4. Step 4: Simplify right side
    254,504.65x = 39,183,423,259.13
  5. Step 5: Solve for x
    x = 39,183,423,259.13/254,504.65
  6. Step 6: Final answer
    x = 153,959.56

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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.