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Finding the Fourth Proportional to 254,774.98, 382,119.81 and 77,239.54

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Solution

The fourth proportional to 254,774.98, 382,119.81 and 77,239.54 is: 115,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,774.98 : 382,119.81 = 77,239.54 : x
  2. Step 2: Convert to fraction form
    254,774.98/382,119.81 = 77,239.54/x
  3. Step 3: Cross multiply
    254,774.98x = 382,119.81 × 77,239.54
  4. Step 4: Simplify right side
    254,774.98x = 29,514,758,349.29
  5. Step 5: Solve for x
    x = 29,514,758,349.29/254,774.98
  6. Step 6: Final answer
    x = 115,846.38

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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.