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Finding the Fourth Proportional to 140,098.56, 209,871.36 and 105,077.76

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Solution

The fourth proportional to 140,098.56, 209,871.36 and 105,077.76 is: 157,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098.56 : 209,871.36 = 105,077.76 : x
  2. Step 2: Convert to fraction form
    140,098.56/209,871.36 = 105,077.76/x
  3. Step 3: Cross multiply
    140,098.56x = 209,871.36 × 105,077.76
  4. Step 4: Simplify right side
    140,098.56x = 22,052,812,396.95
  5. Step 5: Solve for x
    x = 22,052,812,396.95/140,098.56
  6. Step 6: Final answer
    x = 157,409.27

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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.