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Finding the Fourth Proportional to 270,835.98, 405,906.27 and 102,155.40

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Solution

The fourth proportional to 270,835.98, 405,906.27 and 102,155.40 is: 153,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,835.98 : 405,906.27 = 102,155.40 : x
  2. Step 2: Convert to fraction form
    270,835.98/405,906.27 = 102,155.40/x
  3. Step 3: Cross multiply
    270,835.98x = 405,906.27 × 102,155.40
  4. Step 4: Simplify right side
    270,835.98x = 41,465,517,374.36
  5. Step 5: Solve for x
    x = 41,465,517,374.36/270,835.98
  6. Step 6: Final answer
    x = 153,101.95

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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.