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Finding the Fourth Proportional to 254,896.92, 382,320.53 and 77,405.47

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Solution

The fourth proportional to 254,896.92, 382,320.53 and 77,405.47 is: 116,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,896.92 : 382,320.53 = 77,405.47 : x
  2. Step 2: Convert to fraction form
    254,896.92/382,320.53 = 77,405.47/x
  3. Step 3: Cross multiply
    254,896.92x = 382,320.53 × 77,405.47
  4. Step 4: Simplify right side
    254,896.92x = 29,593,698,972.47
  5. Step 5: Solve for x
    x = 29,593,698,972.47/254,896.92
  6. Step 6: Final answer
    x = 116,100.65

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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.