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Finding the Fourth Proportional to 162,005.20, 243,007.80 and 102,664.60

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Solution

The fourth proportional to 162,005.20, 243,007.80 and 102,664.60 is: 153,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,005.20 : 243,007.80 = 102,664.60 : x
  2. Step 2: Convert to fraction form
    162,005.20/243,007.80 = 102,664.60/x
  3. Step 3: Cross multiply
    162,005.20x = 243,007.80 × 102,664.60
  4. Step 4: Simplify right side
    162,005.20x = 24,948,298,583.88
  5. Step 5: Solve for x
    x = 24,948,298,583.88/162,005.20
  6. Step 6: Final answer
    x = 153,996.90

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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.