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Finding the Fourth Proportional to 254,762.17, 382,144.17 and 77,270.71

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Solution

The fourth proportional to 254,762.17, 382,144.17 and 77,270.71 is: 115,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,762.17 : 382,144.17 = 77,270.71 : x
  2. Step 2: Convert to fraction form
    254,762.17/382,144.17 = 77,270.71/x
  3. Step 3: Cross multiply
    254,762.17x = 382,144.17 × 77,270.71
  4. Step 4: Simplify right side
    254,762.17x = 29,528,551,338.26
  5. Step 5: Solve for x
    x = 29,528,551,338.26/254,762.17
  6. Step 6: Final answer
    x = 115,906.34

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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.