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Finding the Fourth Proportional to 161,857.10, 242,670.45 and 61,978.70

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Solution

The fourth proportional to 161,857.10, 242,670.45 and 61,978.70 is: 92,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,857.10 : 242,670.45 = 61,978.70 : x
  2. Step 2: Convert to fraction form
    161,857.10/242,670.45 = 61,978.70/x
  3. Step 3: Cross multiply
    161,857.10x = 242,670.45 × 61,978.70
  4. Step 4: Simplify right side
    161,857.10x = 15,040,399,019.42
  5. Step 5: Solve for x
    x = 15,040,399,019.42/161,857.10
  6. Step 6: Final answer
    x = 92,923.94

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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.