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Finding the Fourth Proportional to 255,221.61, 382,832.43 and 68,228.25

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Solution

The fourth proportional to 255,221.61, 382,832.43 and 68,228.25 is: 102,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,221.61 : 382,832.43 = 68,228.25 : x
  2. Step 2: Convert to fraction form
    255,221.61/382,832.43 = 68,228.25/x
  3. Step 3: Cross multiply
    255,221.61x = 382,832.43 × 68,228.25
  4. Step 4: Simplify right side
    255,221.61x = 26,119,986,742.15
  5. Step 5: Solve for x
    x = 26,119,986,742.15/255,221.61
  6. Step 6: Final answer
    x = 102,342.38

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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.