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Finding the Fourth Proportional to 326,083.14, 489,072.42 and 89,370.90

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Solution

The fourth proportional to 326,083.14, 489,072.42 and 89,370.90 is: 134,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,083.14 : 489,072.42 = 89,370.90 : x
  2. Step 2: Convert to fraction form
    326,083.14/489,072.42 = 89,370.90/x
  3. Step 3: Cross multiply
    326,083.14x = 489,072.42 × 89,370.90
  4. Step 4: Simplify right side
    326,083.14x = 43,708,842,340.58
  5. Step 5: Solve for x
    x = 43,708,842,340.58/326,083.14
  6. Step 6: Final answer
    x = 134,042.02

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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.