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Finding the Fourth Proportional to 161,765.70, 242,562.15 and 68,165.70

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Solution

The fourth proportional to 161,765.70, 242,562.15 and 68,165.70 is: 102,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,765.70 : 242,562.15 = 68,165.70 : x
  2. Step 2: Convert to fraction form
    161,765.70/242,562.15 = 68,165.70/x
  3. Step 3: Cross multiply
    161,765.70x = 242,562.15 × 68,165.70
  4. Step 4: Simplify right side
    161,765.70x = 16,534,418,748.26
  5. Step 5: Solve for x
    x = 16,534,418,748.26/161,765.70
  6. Step 6: Final answer
    x = 102,212.14

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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.