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Finding the Fourth Proportional to 256,782.84, 385,308.57 and 105,092.52

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Solution

The fourth proportional to 256,782.84, 385,308.57 and 105,092.52 is: 157,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,782.84 : 385,308.57 = 105,092.52 : x
  2. Step 2: Convert to fraction form
    256,782.84/385,308.57 = 105,092.52/x
  3. Step 3: Cross multiply
    256,782.84x = 385,308.57 × 105,092.52
  4. Step 4: Simplify right side
    256,782.84x = 40,493,048,073.43
  5. Step 5: Solve for x
    x = 40,493,048,073.43/256,782.84
  6. Step 6: Final answer
    x = 157,693.75

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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.