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Finding the Fourth Proportional to 255,111.93, 382,388.04 and 105,274.89

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Solution

The fourth proportional to 255,111.93, 382,388.04 and 105,274.89 is: 157,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,111.93 : 382,388.04 = 105,274.89 : x
  2. Step 2: Convert to fraction form
    255,111.93/382,388.04 = 105,274.89/x
  3. Step 3: Cross multiply
    255,111.93x = 382,388.04 × 105,274.89
  4. Step 4: Simplify right side
    255,111.93x = 40,255,858,848.32
  5. Step 5: Solve for x
    x = 40,255,858,848.32/255,111.93
  6. Step 6: Final answer
    x = 157,796.85

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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.