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Finding the Fourth Proportional to 256,987.89, 385,274.07 and 107,342.82

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Solution

The fourth proportional to 256,987.89, 385,274.07 and 107,342.82 is: 160,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,987.89 : 385,274.07 = 107,342.82 : x
  2. Step 2: Convert to fraction form
    256,987.89/385,274.07 = 107,342.82/x
  3. Step 3: Cross multiply
    256,987.89x = 385,274.07 × 107,342.82
  4. Step 4: Simplify right side
    256,987.89x = 41,356,405,146.68
  5. Step 5: Solve for x
    x = 41,356,405,146.68/256,987.89
  6. Step 6: Final answer
    x = 160,927.45

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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.