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Finding the Fourth Proportional to 256,102.20, 384,210.90 and 78,617.40

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Solution

The fourth proportional to 256,102.20, 384,210.90 and 78,617.40 is: 117,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,102.20 : 384,210.90 = 78,617.40 : x
  2. Step 2: Convert to fraction form
    256,102.20/384,210.90 = 78,617.40/x
  3. Step 3: Cross multiply
    256,102.20x = 384,210.90 × 78,617.40
  4. Step 4: Simplify right side
    256,102.20x = 30,205,662,009.66
  5. Step 5: Solve for x
    x = 30,205,662,009.66/256,102.20
  6. Step 6: Final answer
    x = 117,943.78

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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.