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Finding the Fourth Proportional to 256,062.60, 384,209.10 and 89,969.80

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Solution

The fourth proportional to 256,062.60, 384,209.10 and 89,969.80 is: 134,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,062.60 : 384,209.10 = 89,969.80 : x
  2. Step 2: Convert to fraction form
    256,062.60/384,209.10 = 89,969.80/x
  3. Step 3: Cross multiply
    256,062.60x = 384,209.10 × 89,969.80
  4. Step 4: Simplify right side
    256,062.60x = 34,567,215,885.18
  5. Step 5: Solve for x
    x = 34,567,215,885.18/256,062.60
  6. Step 6: Final answer
    x = 134,995.18

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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.