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Finding the Fourth Proportional to 84,010.34, 125,724.84 and 68,842.10

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Solution

The fourth proportional to 84,010.34, 125,724.84 and 68,842.10 is: 103,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,010.34 : 125,724.84 = 68,842.10 : x
  2. Step 2: Convert to fraction form
    84,010.34/125,724.84 = 68,842.10/x
  3. Step 3: Cross multiply
    84,010.34x = 125,724.84 × 68,842.10
  4. Step 4: Simplify right side
    84,010.34x = 8,655,162,007.76
  5. Step 5: Solve for x
    x = 8,655,162,007.76/84,010.34
  6. Step 6: Final answer
    x = 103,024.96

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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.