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Finding the Fourth Proportional to 161,722.40, 242,000.40 and 109,234.40

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Solution

The fourth proportional to 161,722.40, 242,000.40 and 109,234.40 is: 163,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,722.40 : 242,000.40 = 109,234.40 : x
  2. Step 2: Convert to fraction form
    161,722.40/242,000.40 = 109,234.40/x
  3. Step 3: Cross multiply
    161,722.40x = 242,000.40 × 109,234.40
  4. Step 4: Simplify right side
    161,722.40x = 26,434,768,493.76
  5. Step 5: Solve for x
    x = 26,434,768,493.76/161,722.40
  6. Step 6: Final answer
    x = 163,457.68

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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.