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Finding the Fourth Proportional to 73,099.63, 109,651.67 and 20,509.16

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Solution

The fourth proportional to 73,099.63, 109,651.67 and 20,509.16 is: 30,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,099.63 : 109,651.67 = 20,509.16 : x
  2. Step 2: Convert to fraction form
    73,099.63/109,651.67 = 20,509.16/x
  3. Step 3: Cross multiply
    73,099.63x = 109,651.67 × 20,509.16
  4. Step 4: Simplify right side
    73,099.63x = 2,248,863,541.75
  5. Step 5: Solve for x
    x = 2,248,863,541.75/73,099.63
  6. Step 6: Final answer
    x = 30,764.36

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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.