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Finding the Fourth Proportional to 106,329.40, 159,494.10 and 81,753.40

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Solution

The fourth proportional to 106,329.40, 159,494.10 and 81,753.40 is: 122,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,329.40 : 159,494.10 = 81,753.40 : x
  2. Step 2: Convert to fraction form
    106,329.40/159,494.10 = 81,753.40/x
  3. Step 3: Cross multiply
    106,329.40x = 159,494.10 × 81,753.40
  4. Step 4: Simplify right side
    106,329.40x = 13,039,184,954.94
  5. Step 5: Solve for x
    x = 13,039,184,954.94/106,329.40
  6. Step 6: Final answer
    x = 122,630.10

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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.