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Finding the Fourth Proportional to 100,779.59, 151,163.92 and 30,653.44

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Solution

The fourth proportional to 100,779.59, 151,163.92 and 30,653.44 is: 45,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,779.59 : 151,163.92 = 30,653.44 : x
  2. Step 2: Convert to fraction form
    100,779.59/151,163.92 = 30,653.44/x
  3. Step 3: Cross multiply
    100,779.59x = 151,163.92 × 30,653.44
  4. Step 4: Simplify right side
    100,779.59x = 4,633,693,812.29
  5. Step 5: Solve for x
    x = 4,633,693,812.29/100,779.59
  6. Step 6: Final answer
    x = 45,978.49

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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.