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Finding the Fourth Proportional to 256,070.60, 384,221.10 and 89,977.80

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Solution

The fourth proportional to 256,070.60, 384,221.10 and 89,977.80 is: 135,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,070.60 : 384,221.10 = 89,977.80 : x
  2. Step 2: Convert to fraction form
    256,070.60/384,221.10 = 89,977.80/x
  3. Step 3: Cross multiply
    256,070.60x = 384,221.10 × 89,977.80
  4. Step 4: Simplify right side
    256,070.60x = 34,571,369,291.58
  5. Step 5: Solve for x
    x = 34,571,369,291.58/256,070.60
  6. Step 6: Final answer
    x = 135,007.18

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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.