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Finding the Fourth Proportional to 270,702.30, 405,974.61 and 81,155.10

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Solution

The fourth proportional to 270,702.30, 405,974.61 and 81,155.10 is: 121,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,702.30 : 405,974.61 = 81,155.10 : x
  2. Step 2: Convert to fraction form
    270,702.30/405,974.61 = 81,155.10/x
  3. Step 3: Cross multiply
    270,702.30x = 405,974.61 × 81,155.10
  4. Step 4: Simplify right side
    270,702.30x = 32,946,910,072.01
  5. Step 5: Solve for x
    x = 32,946,910,072.01/270,702.30
  6. Step 6: Final answer
    x = 121,709.01

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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.