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Finding the Fourth Proportional to 254,783.27, 382,175.82 and 77,291.82

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Solution

The fourth proportional to 254,783.27, 382,175.82 and 77,291.82 is: 115,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,783.27 : 382,175.82 = 77,291.82 : x
  2. Step 2: Convert to fraction form
    254,783.27/382,175.82 = 77,291.82/x
  3. Step 3: Cross multiply
    254,783.27x = 382,175.82 × 77,291.82
  4. Step 4: Simplify right side
    254,783.27x = 29,539,064,687.79
  5. Step 5: Solve for x
    x = 29,539,064,687.79/254,783.27
  6. Step 6: Final answer
    x = 115,938.01

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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.