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Finding the Fourth Proportional to 161,905.20, 242,857.80 and 99,697.20

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Solution

The fourth proportional to 161,905.20, 242,857.80 and 99,697.20 is: 149,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,905.20 : 242,857.80 = 99,697.20 : x
  2. Step 2: Convert to fraction form
    161,905.20/242,857.80 = 99,697.20/x
  3. Step 3: Cross multiply
    161,905.20x = 242,857.80 × 99,697.20
  4. Step 4: Simplify right side
    161,905.20x = 24,212,242,658.16
  5. Step 5: Solve for x
    x = 24,212,242,658.16/161,905.20
  6. Step 6: Final answer
    x = 149,545.80

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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.