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Finding the Fourth Proportional to 162,516.80, 243,676.80 and 106,289.04

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Solution

The fourth proportional to 162,516.80, 243,676.80 and 106,289.04 is: 159,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,516.80 : 243,676.80 = 106,289.04 : x
  2. Step 2: Convert to fraction form
    162,516.80/243,676.80 = 106,289.04/x
  3. Step 3: Cross multiply
    162,516.80x = 243,676.80 × 106,289.04
  4. Step 4: Simplify right side
    162,516.80x = 25,900,173,142.27
  5. Step 5: Solve for x
    x = 25,900,173,142.27/162,516.80
  6. Step 6: Final answer
    x = 159,369.20

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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.