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Finding the Fourth Proportional to 146,494, 219,610.68 and 52,978.96

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Solution

The fourth proportional to 146,494, 219,610.68 and 52,978.96 is: 79,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,494 : 219,610.68 = 52,978.96 : x
  2. Step 2: Convert to fraction form
    146,494/219,610.68 = 52,978.96/x
  3. Step 3: Cross multiply
    146,494x = 219,610.68 × 52,978.96
  4. Step 4: Simplify right side
    146,494x = 11,634,745,431.29
  5. Step 5: Solve for x
    x = 11,634,745,431.29/146,494
  6. Step 6: Final answer
    x = 79,421.31

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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.