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Finding the Fourth Proportional to 256,733.43, 385,141.86 and 79,199.25

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Solution

The fourth proportional to 256,733.43, 385,141.86 and 79,199.25 is: 118,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,733.43 : 385,141.86 = 79,199.25 : x
  2. Step 2: Convert to fraction form
    256,733.43/385,141.86 = 79,199.25/x
  3. Step 3: Cross multiply
    256,733.43x = 385,141.86 × 79,199.25
  4. Step 4: Simplify right side
    256,733.43x = 30,502,946,455.61
  5. Step 5: Solve for x
    x = 30,502,946,455.61/256,733.43
  6. Step 6: Final answer
    x = 118,811.74

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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.