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Finding the Fourth Proportional to 162,419.92, 243,519.01 and 86,529.81

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Solution

The fourth proportional to 162,419.92, 243,519.01 and 86,529.81 is: 129,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,419.92 : 243,519.01 = 86,529.81 : x
  2. Step 2: Convert to fraction form
    162,419.92/243,519.01 = 86,529.81/x
  3. Step 3: Cross multiply
    162,419.92x = 243,519.01 × 86,529.81
  4. Step 4: Simplify right side
    162,419.92x = 21,071,652,016.44
  5. Step 5: Solve for x
    x = 21,071,652,016.44/162,419.92
  6. Step 6: Final answer
    x = 129,735.64

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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.