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Finding the Fourth Proportional to 256,796.49, 384,985.95 and 107,148.26

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Solution

The fourth proportional to 256,796.49, 384,985.95 and 107,148.26 is: 160,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,796.49 : 384,985.95 = 107,148.26 : x
  2. Step 2: Convert to fraction form
    256,796.49/384,985.95 = 107,148.26/x
  3. Step 3: Cross multiply
    256,796.49x = 384,985.95 × 107,148.26
  4. Step 4: Simplify right side
    256,796.49x = 41,250,572,742.02
  5. Step 5: Solve for x
    x = 41,250,572,742.02/256,796.49
  6. Step 6: Final answer
    x = 160,635.27

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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.