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Finding the Fourth Proportional to 83,998.90, 126,010.66 and 30,693.50

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Solution

The fourth proportional to 83,998.90, 126,010.66 and 30,693.50 is: 46,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,998.90 : 126,010.66 = 30,693.50 : x
  2. Step 2: Convert to fraction form
    83,998.90/126,010.66 = 30,693.50/x
  3. Step 3: Cross multiply
    83,998.90x = 126,010.66 × 30,693.50
  4. Step 4: Simplify right side
    83,998.90x = 3,867,708,192.71
  5. Step 5: Solve for x
    x = 3,867,708,192.71/83,998.90
  6. Step 6: Final answer
    x = 46,044.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.