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Finding the Fourth Proportional to 162,003.20, 242,918.40 and 68,403.20

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Solution

The fourth proportional to 162,003.20, 242,918.40 and 68,403.20 is: 102,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,003.20 : 242,918.40 = 68,403.20 : x
  2. Step 2: Convert to fraction form
    162,003.20/242,918.40 = 68,403.20/x
  3. Step 3: Cross multiply
    162,003.20x = 242,918.40 × 68,403.20
  4. Step 4: Simplify right side
    162,003.20x = 16,616,395,898.88
  5. Step 5: Solve for x
    x = 16,616,395,898.88/162,003.20
  6. Step 6: Final answer
    x = 102,568.32

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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.