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Finding the Fourth Proportional to 256,252.75, 384,250.08 and 85,413.96

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Solution

The fourth proportional to 256,252.75, 384,250.08 and 85,413.96 is: 128,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,252.75 : 384,250.08 = 85,413.96 : x
  2. Step 2: Convert to fraction form
    256,252.75/384,250.08 = 85,413.96/x
  3. Step 3: Cross multiply
    256,252.75x = 384,250.08 × 85,413.96
  4. Step 4: Simplify right side
    256,252.75x = 32,820,320,963.12
  5. Step 5: Solve for x
    x = 32,820,320,963.12/256,252.75
  6. Step 6: Final answer
    x = 128,077.93

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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.