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Finding the Fourth Proportional to 230,809.25, 318,569.90 and 135,346.70

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Solution

The fourth proportional to 230,809.25, 318,569.90 and 135,346.70 is: 186,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,809.25 : 318,569.90 = 135,346.70 : x
  2. Step 2: Convert to fraction form
    230,809.25/318,569.90 = 135,346.70/x
  3. Step 3: Cross multiply
    230,809.25x = 318,569.90 × 135,346.70
  4. Step 4: Simplify right side
    230,809.25x = 43,117,383,091.48
  5. Step 5: Solve for x
    x = 43,117,383,091.48/230,809.25
  6. Step 6: Final answer
    x = 186,809.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.