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Finding the Fourth Proportional to 85,414.60, 128,121.90 and 54,387.40

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Solution

The fourth proportional to 85,414.60, 128,121.90 and 54,387.40 is: 81,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.60 : 128,121.90 = 54,387.40 : x
  2. Step 2: Convert to fraction form
    85,414.60/128,121.90 = 54,387.40/x
  3. Step 3: Cross multiply
    85,414.60x = 128,121.90 × 54,387.40
  4. Step 4: Simplify right side
    85,414.60x = 6,968,217,024.06
  5. Step 5: Solve for x
    x = 6,968,217,024.06/85,414.60
  6. Step 6: Final answer
    x = 81,581.10

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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.