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Finding the Fourth Proportional to 180,403.31, 270,599.38 and 85,701.65

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Solution

The fourth proportional to 180,403.31, 270,599.38 and 85,701.65 is: 128,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,403.31 : 270,599.38 = 85,701.65 : x
  2. Step 2: Convert to fraction form
    180,403.31/270,599.38 = 85,701.65/x
  3. Step 3: Cross multiply
    180,403.31x = 270,599.38 × 85,701.65
  4. Step 4: Simplify right side
    180,403.31x = 23,190,811,787.73
  5. Step 5: Solve for x
    x = 23,190,811,787.73/180,403.31
  6. Step 6: Final answer
    x = 128,549.81

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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.